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Finding the Fourth Proportional to 1,507.77, 2,080.36 and 877.92

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Solution

The fourth proportional to 1,507.77, 2,080.36 and 877.92 is: 1,211.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.77 : 2,080.36 = 877.92 : x
  2. Step 2: Convert to fraction form
    1,507.77/2,080.36 = 877.92/x
  3. Step 3: Cross multiply
    1,507.77x = 2,080.36 × 877.92
  4. Step 4: Simplify right side
    1,507.77x = 1,826,379.25
  5. Step 5: Solve for x
    x = 1,826,379.25/1,507.77
  6. Step 6: Final answer
    x = 1,211.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.