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Finding the Fourth Proportional to 3,061.23, 4,592.02 and 869.78

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Solution

The fourth proportional to 3,061.23, 4,592.02 and 869.78 is: 1,304.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,061.23 : 4,592.02 = 869.78 : x
  2. Step 2: Convert to fraction form
    3,061.23/4,592.02 = 869.78/x
  3. Step 3: Cross multiply
    3,061.23x = 4,592.02 × 869.78
  4. Step 4: Simplify right side
    3,061.23x = 3,994,047.16
  5. Step 5: Solve for x
    x = 3,994,047.16/3,061.23
  6. Step 6: Final answer
    x = 1,304.72

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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.