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Finding the Fourth Proportional to 1,539.83, 2,124.71 and 876.56

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Solution

The fourth proportional to 1,539.83, 2,124.71 and 876.56 is: 1,209.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.83 : 2,124.71 = 876.56 : x
  2. Step 2: Convert to fraction form
    1,539.83/2,124.71 = 876.56/x
  3. Step 3: Cross multiply
    1,539.83x = 2,124.71 × 876.56
  4. Step 4: Simplify right side
    1,539.83x = 1,862,424.08
  5. Step 5: Solve for x
    x = 1,862,424.08/1,539.83
  6. Step 6: Final answer
    x = 1,209.50

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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.