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Finding the Fourth Proportional to 2,147.47, 3,215.14 and 1,365.54

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Solution

The fourth proportional to 2,147.47, 3,215.14 and 1,365.54 is: 2,044.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.47 : 3,215.14 = 1,365.54 : x
  2. Step 2: Convert to fraction form
    2,147.47/3,215.14 = 1,365.54/x
  3. Step 3: Cross multiply
    2,147.47x = 3,215.14 × 1,365.54
  4. Step 4: Simplify right side
    2,147.47x = 4,390,402.28
  5. Step 5: Solve for x
    x = 4,390,402.28/2,147.47
  6. Step 6: Final answer
    x = 2,044.45

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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.