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Finding the Fourth Proportional to 1,539.19, 2,124.20 and 876.25

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Solution

The fourth proportional to 1,539.19, 2,124.20 and 876.25 is: 1,209.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.19 : 2,124.20 = 876.25 : x
  2. Step 2: Convert to fraction form
    1,539.19/2,124.20 = 876.25/x
  3. Step 3: Cross multiply
    1,539.19x = 2,124.20 × 876.25
  4. Step 4: Simplify right side
    1,539.19x = 1,861,315.25
  5. Step 5: Solve for x
    x = 1,861,315.25/1,539.19
  6. Step 6: Final answer
    x = 1,209.29

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