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Finding the Fourth Proportional to 1,539.61, 2,124.68 and 910.30

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Solution

The fourth proportional to 1,539.61, 2,124.68 and 910.30 is: 1,256.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.61 : 2,124.68 = 910.30 : x
  2. Step 2: Convert to fraction form
    1,539.61/2,124.68 = 910.30/x
  3. Step 3: Cross multiply
    1,539.61x = 2,124.68 × 910.30
  4. Step 4: Simplify right side
    1,539.61x = 1,934,096.20
  5. Step 5: Solve for x
    x = 1,934,096.20/1,539.61
  6. Step 6: Final answer
    x = 1,256.22

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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.