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Finding the Fourth Proportional to 2,423.52, 3,344.89 and 1,428.74

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Solution

The fourth proportional to 2,423.52, 3,344.89 and 1,428.74 is: 1,971.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,423.52 : 3,344.89 = 1,428.74 : x
  2. Step 2: Convert to fraction form
    2,423.52/3,344.89 = 1,428.74/x
  3. Step 3: Cross multiply
    2,423.52x = 3,344.89 × 1,428.74
  4. Step 4: Simplify right side
    2,423.52x = 4,778,978.14
  5. Step 5: Solve for x
    x = 4,778,978.14/2,423.52
  6. Step 6: Final answer
    x = 1,971.92

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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.