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Finding the Fourth Proportional to 1,854.77, 2,782.44 and 880.34

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Solution

The fourth proportional to 1,854.77, 2,782.44 and 880.34 is: 1,320.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.77 : 2,782.44 = 880.34 : x
  2. Step 2: Convert to fraction form
    1,854.77/2,782.44 = 880.34/x
  3. Step 3: Cross multiply
    1,854.77x = 2,782.44 × 880.34
  4. Step 4: Simplify right side
    1,854.77x = 2,449,479.32
  5. Step 5: Solve for x
    x = 2,449,479.32/1,854.77
  6. Step 6: Final answer
    x = 1,320.64

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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.