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Finding the Fourth Proportional to 3,061.80, 4,592.43 and 870.48

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Solution

The fourth proportional to 3,061.80, 4,592.43 and 870.48 is: 1,305.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,061.80 : 4,592.43 = 870.48 : x
  2. Step 2: Convert to fraction form
    3,061.80/4,592.43 = 870.48/x
  3. Step 3: Cross multiply
    3,061.80x = 4,592.43 × 870.48
  4. Step 4: Simplify right side
    3,061.80x = 3,997,618.47
  5. Step 5: Solve for x
    x = 3,997,618.47/3,061.80
  6. Step 6: Final answer
    x = 1,305.64

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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.