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Finding the Fourth Proportional to 2,634.64, 3,636.96 and 1,572.78

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Solution

The fourth proportional to 2,634.64, 3,636.96 and 1,572.78 is: 2,171.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,634.64 : 3,636.96 = 1,572.78 : x
  2. Step 2: Convert to fraction form
    2,634.64/3,636.96 = 1,572.78/x
  3. Step 3: Cross multiply
    2,634.64x = 3,636.96 × 1,572.78
  4. Step 4: Simplify right side
    2,634.64x = 5,720,137.95
  5. Step 5: Solve for x
    x = 5,720,137.95/2,634.64
  6. Step 6: Final answer
    x = 2,171.13

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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.