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Finding the Fourth Proportional to 3,061.80, 4,592.62 and 870.53

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Solution

The fourth proportional to 3,061.80, 4,592.62 and 870.53 is: 1,305.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,061.80 : 4,592.62 = 870.53 : x
  2. Step 2: Convert to fraction form
    3,061.80/4,592.62 = 870.53/x
  3. Step 3: Cross multiply
    3,061.80x = 4,592.62 × 870.53
  4. Step 4: Simplify right side
    3,061.80x = 3,997,986.17
  5. Step 5: Solve for x
    x = 3,997,986.17/3,061.80
  6. Step 6: Final answer
    x = 1,305.76

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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.