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Finding the Fourth Proportional to 2,147.60, 3,215.10 and 1,602.20

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Solution

The fourth proportional to 2,147.60, 3,215.10 and 1,602.20 is: 2,398.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.60 : 3,215.10 = 1,602.20 : x
  2. Step 2: Convert to fraction form
    2,147.60/3,215.10 = 1,602.20/x
  3. Step 3: Cross multiply
    2,147.60x = 3,215.10 × 1,602.20
  4. Step 4: Simplify right side
    2,147.60x = 5,151,233.22
  5. Step 5: Solve for x
    x = 5,151,233.22/2,147.60
  6. Step 6: Final answer
    x = 2,398.60

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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.