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Finding the Fourth Proportional to 1,353.47, 2,029.23 and 913.63

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Solution

The fourth proportional to 1,353.47, 2,029.23 and 913.63 is: 1,369.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.47 : 2,029.23 = 913.63 : x
  2. Step 2: Convert to fraction form
    1,353.47/2,029.23 = 913.63/x
  3. Step 3: Cross multiply
    1,353.47x = 2,029.23 × 913.63
  4. Step 4: Simplify right side
    1,353.47x = 1,853,961.57
  5. Step 5: Solve for x
    x = 1,853,961.57/1,353.47
  6. Step 6: Final answer
    x = 1,369.78

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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.