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Finding the Fourth Proportional to 1,887,782.83, 2,829,477.32 and 1,078,734.31

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Solution

The fourth proportional to 1,887,782.83, 2,829,477.32 and 1,078,734.31 is: 1,616,846.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,887,782.83 : 2,829,477.32 = 1,078,734.31 : x
  2. Step 2: Convert to fraction form
    1,887,782.83/2,829,477.32 = 1,078,734.31/x
  3. Step 3: Cross multiply
    1,887,782.83x = 2,829,477.32 × 1,078,734.31
  4. Step 4: Simplify right side
    1,887,782.83x = 3,052,254,256,028.74
  5. Step 5: Solve for x
    x = 3,052,254,256,028.74/1,887,782.83
  6. Step 6: Final answer
    x = 1,616,846.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.