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Finding the Fourth Proportional to 3,061.82, 4,592.96 and 870.73

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Solution

The fourth proportional to 3,061.82, 4,592.96 and 870.73 is: 1,306.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,061.82 : 4,592.96 = 870.73 : x
  2. Step 2: Convert to fraction form
    3,061.82/4,592.96 = 870.73/x
  3. Step 3: Cross multiply
    3,061.82x = 4,592.96 × 870.73
  4. Step 4: Simplify right side
    3,061.82x = 3,999,228.06
  5. Step 5: Solve for x
    x = 3,999,228.06/3,061.82
  6. Step 6: Final answer
    x = 1,306.16

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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.