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Finding the Fourth Proportional to 2,265.57, 3,397.94 and 948.97

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Solution

The fourth proportional to 2,265.57, 3,397.94 and 948.97 is: 1,423.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.57 : 3,397.94 = 948.97 : x
  2. Step 2: Convert to fraction form
    2,265.57/3,397.94 = 948.97/x
  3. Step 3: Cross multiply
    2,265.57x = 3,397.94 × 948.97
  4. Step 4: Simplify right side
    2,265.57x = 3,224,525.74
  5. Step 5: Solve for x
    x = 3,224,525.74/2,265.57
  6. Step 6: Final answer
    x = 1,423.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.