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Finding the Fourth Proportional to 1,539.97, 2,125.29 and 876.64

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Solution

The fourth proportional to 1,539.97, 2,125.29 and 876.64 is: 1,209.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.97 : 2,125.29 = 876.64 : x
  2. Step 2: Convert to fraction form
    1,539.97/2,125.29 = 876.64/x
  3. Step 3: Cross multiply
    1,539.97x = 2,125.29 × 876.64
  4. Step 4: Simplify right side
    1,539.97x = 1,863,114.23
  5. Step 5: Solve for x
    x = 1,863,114.23/1,539.97
  6. Step 6: Final answer
    x = 1,209.84

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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.