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Finding the Fourth Proportional to 1,635.72, 2,256.37 and 1,037.13

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Solution

The fourth proportional to 1,635.72, 2,256.37 and 1,037.13 is: 1,430.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635.72 : 2,256.37 = 1,037.13 : x
  2. Step 2: Convert to fraction form
    1,635.72/2,256.37 = 1,037.13/x
  3. Step 3: Cross multiply
    1,635.72x = 2,256.37 × 1,037.13
  4. Step 4: Simplify right side
    1,635.72x = 2,340,149.02
  5. Step 5: Solve for x
    x = 2,340,149.02/1,635.72
  6. Step 6: Final answer
    x = 1,430.65

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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.