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Finding the Fourth Proportional to 1,597.26, 2,204.26 and 1,037.96

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Solution

The fourth proportional to 1,597.26, 2,204.26 and 1,037.96 is: 1,432.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.26 : 2,204.26 = 1,037.96 : x
  2. Step 2: Convert to fraction form
    1,597.26/2,204.26 = 1,037.96/x
  3. Step 3: Cross multiply
    1,597.26x = 2,204.26 × 1,037.96
  4. Step 4: Simplify right side
    1,597.26x = 2,287,933.71
  5. Step 5: Solve for x
    x = 2,287,933.71/1,597.26
  6. Step 6: Final answer
    x = 1,432.41

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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.