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Finding the Fourth Proportional to 1,753.47, 2,419.68 and 1,007.67

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Solution

The fourth proportional to 1,753.47, 2,419.68 and 1,007.67 is: 1,390.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753.47 : 2,419.68 = 1,007.67 : x
  2. Step 2: Convert to fraction form
    1,753.47/2,419.68 = 1,007.67/x
  3. Step 3: Cross multiply
    1,753.47x = 2,419.68 × 1,007.67
  4. Step 4: Simplify right side
    1,753.47x = 2,438,251.80
  5. Step 5: Solve for x
    x = 2,438,251.80/1,753.47
  6. Step 6: Final answer
    x = 1,390.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.