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Finding the Fourth Proportional to 3,061.40, 4,592.06 and 870.14

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Solution

The fourth proportional to 3,061.40, 4,592.06 and 870.14 is: 1,305.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,061.40 : 4,592.06 = 870.14 : x
  2. Step 2: Convert to fraction form
    3,061.40/4,592.06 = 870.14/x
  3. Step 3: Cross multiply
    3,061.40x = 4,592.06 × 870.14
  4. Step 4: Simplify right side
    3,061.40x = 3,995,735.09
  5. Step 5: Solve for x
    x = 3,995,735.09/3,061.40
  6. Step 6: Final answer
    x = 1,305.20

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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.