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Finding the Fourth Proportional to 1,614.96, 2,225.07 and 1,348.47

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Solution

The fourth proportional to 1,614.96, 2,225.07 and 1,348.47 is: 1,857.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.96 : 2,225.07 = 1,348.47 : x
  2. Step 2: Convert to fraction form
    1,614.96/2,225.07 = 1,348.47/x
  3. Step 3: Cross multiply
    1,614.96x = 2,225.07 × 1,348.47
  4. Step 4: Simplify right side
    1,614.96x = 3,000,440.14
  5. Step 5: Solve for x
    x = 3,000,440.14/1,614.96
  6. Step 6: Final answer
    x = 1,857.90

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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.