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Finding the Fourth Proportional to 2,752.14, 4,128.18 and 1,020.76

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Solution

The fourth proportional to 2,752.14, 4,128.18 and 1,020.76 is: 1,531.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.14 : 4,128.18 = 1,020.76 : x
  2. Step 2: Convert to fraction form
    2,752.14/4,128.18 = 1,020.76/x
  3. Step 3: Cross multiply
    2,752.14x = 4,128.18 × 1,020.76
  4. Step 4: Simplify right side
    2,752.14x = 4,213,881.02
  5. Step 5: Solve for x
    x = 4,213,881.02/2,752.14
  6. Step 6: Final answer
    x = 1,531.13

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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.