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Finding the Fourth Proportional to 3,061.53, 4,592.57 and 870.30

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Solution

The fourth proportional to 3,061.53, 4,592.57 and 870.30 is: 1,305.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,061.53 : 4,592.57 = 870.30 : x
  2. Step 2: Convert to fraction form
    3,061.53/4,592.57 = 870.30/x
  3. Step 3: Cross multiply
    3,061.53x = 4,592.57 × 870.30
  4. Step 4: Simplify right side
    3,061.53x = 3,996,909.32
  5. Step 5: Solve for x
    x = 3,996,909.32/3,061.53
  6. Step 6: Final answer
    x = 1,305.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.