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Finding the Fourth Proportional to 2,715.47, 4,073.76 and 1,155.47

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Solution

The fourth proportional to 2,715.47, 4,073.76 and 1,155.47 is: 1,733.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.47 : 4,073.76 = 1,155.47 : x
  2. Step 2: Convert to fraction form
    2,715.47/4,073.76 = 1,155.47/x
  3. Step 3: Cross multiply
    2,715.47x = 4,073.76 × 1,155.47
  4. Step 4: Simplify right side
    2,715.47x = 4,707,107.47
  5. Step 5: Solve for x
    x = 4,707,107.47/2,715.47
  6. Step 6: Final answer
    x = 1,733.44

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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.