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Finding the Fourth Proportional to 1,397.46, 1,937.32 and 1,323.48

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Solution

The fourth proportional to 1,397.46, 1,937.32 and 1,323.48 is: 1,834.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.46 : 1,937.32 = 1,323.48 : x
  2. Step 2: Convert to fraction form
    1,397.46/1,937.32 = 1,323.48/x
  3. Step 3: Cross multiply
    1,397.46x = 1,937.32 × 1,323.48
  4. Step 4: Simplify right side
    1,397.46x = 2,564,004.27
  5. Step 5: Solve for x
    x = 2,564,004.27/1,397.46
  6. Step 6: Final answer
    x = 1,834.76

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.