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Finding the Fourth Proportional to 2,170.48, 3,256.10 and 1,553.12

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Solution

The fourth proportional to 2,170.48, 3,256.10 and 1,553.12 is: 2,329.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.48 : 3,256.10 = 1,553.12 : x
  2. Step 2: Convert to fraction form
    2,170.48/3,256.10 = 1,553.12/x
  3. Step 3: Cross multiply
    2,170.48x = 3,256.10 × 1,553.12
  4. Step 4: Simplify right side
    2,170.48x = 5,057,114.03
  5. Step 5: Solve for x
    x = 5,057,114.03/2,170.48
  6. Step 6: Final answer
    x = 2,329.95

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