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Finding the Fourth Proportional to 1,615.47, 2,233.49 and 1,243.68

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Solution

The fourth proportional to 1,615.47, 2,233.49 and 1,243.68 is: 1,719.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615.47 : 2,233.49 = 1,243.68 : x
  2. Step 2: Convert to fraction form
    1,615.47/2,233.49 = 1,243.68/x
  3. Step 3: Cross multiply
    1,615.47x = 2,233.49 × 1,243.68
  4. Step 4: Simplify right side
    1,615.47x = 2,777,740.62
  5. Step 5: Solve for x
    x = 2,777,740.62/1,615.47
  6. Step 6: Final answer
    x = 1,719.46

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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.