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Finding the Fourth Proportional to 1,337.27, 1,846.01 and 917.49

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Solution

The fourth proportional to 1,337.27, 1,846.01 and 917.49 is: 1,266.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.27 : 1,846.01 = 917.49 : x
  2. Step 2: Convert to fraction form
    1,337.27/1,846.01 = 917.49/x
  3. Step 3: Cross multiply
    1,337.27x = 1,846.01 × 917.49
  4. Step 4: Simplify right side
    1,337.27x = 1,693,695.71
  5. Step 5: Solve for x
    x = 1,693,695.71/1,337.27
  6. Step 6: Final answer
    x = 1,266.53

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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.