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Finding the Fourth Proportional to 3,020.72, 4,531.20 and 940.76

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Solution

The fourth proportional to 3,020.72, 4,531.20 and 940.76 is: 1,411.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,020.72 : 4,531.20 = 940.76 : x
  2. Step 2: Convert to fraction form
    3,020.72/4,531.20 = 940.76/x
  3. Step 3: Cross multiply
    3,020.72x = 4,531.20 × 940.76
  4. Step 4: Simplify right side
    3,020.72x = 4,262,771.71
  5. Step 5: Solve for x
    x = 4,262,771.71/3,020.72
  6. Step 6: Final answer
    x = 1,411.18

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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.