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Finding the Fourth Proportional to 2,013.56, 3,020.78 and 715.04

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Solution

The fourth proportional to 2,013.56, 3,020.78 and 715.04 is: 1,072.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.56 : 3,020.78 = 715.04 : x
  2. Step 2: Convert to fraction form
    2,013.56/3,020.78 = 715.04/x
  3. Step 3: Cross multiply
    2,013.56x = 3,020.78 × 715.04
  4. Step 4: Simplify right side
    2,013.56x = 2,159,978.53
  5. Step 5: Solve for x
    x = 2,159,978.53/2,013.56
  6. Step 6: Final answer
    x = 1,072.72

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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.