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Finding the Fourth Proportional to 2,013.57, 3,020.40 and 715.05

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Solution

The fourth proportional to 2,013.57, 3,020.40 and 715.05 is: 1,072.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.57 : 3,020.40 = 715.05 : x
  2. Step 2: Convert to fraction form
    2,013.57/3,020.40 = 715.05/x
  3. Step 3: Cross multiply
    2,013.57x = 3,020.40 × 715.05
  4. Step 4: Simplify right side
    2,013.57x = 2,159,737.02
  5. Step 5: Solve for x
    x = 2,159,737.02/2,013.57
  6. Step 6: Final answer
    x = 1,072.59

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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.