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Finding the Fourth Proportional to 1,565.26, 2,159.98 and 901.97

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Solution

The fourth proportional to 1,565.26, 2,159.98 and 901.97 is: 1,244.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.26 : 2,159.98 = 901.97 : x
  2. Step 2: Convert to fraction form
    1,565.26/2,159.98 = 901.97/x
  3. Step 3: Cross multiply
    1,565.26x = 2,159.98 × 901.97
  4. Step 4: Simplify right side
    1,565.26x = 1,948,237.16
  5. Step 5: Solve for x
    x = 1,948,237.16/1,565.26
  6. Step 6: Final answer
    x = 1,244.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.