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Finding the Fourth Proportional to 2,347.68, 3,515.28 and 2,052.44

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Solution

The fourth proportional to 2,347.68, 3,515.28 and 2,052.44 is: 3,073.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.68 : 3,515.28 = 2,052.44 : x
  2. Step 2: Convert to fraction form
    2,347.68/3,515.28 = 2,052.44/x
  3. Step 3: Cross multiply
    2,347.68x = 3,515.28 × 2,052.44
  4. Step 4: Simplify right side
    2,347.68x = 7,214,901.28
  5. Step 5: Solve for x
    x = 7,214,901.28/2,347.68
  6. Step 6: Final answer
    x = 3,073.20

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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.