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Finding the Fourth Proportional to 2,324.84, 3,487.06 and 1,508.25

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Solution

The fourth proportional to 2,324.84, 3,487.06 and 1,508.25 is: 2,262.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.84 : 3,487.06 = 1,508.25 : x
  2. Step 2: Convert to fraction form
    2,324.84/3,487.06 = 1,508.25/x
  3. Step 3: Cross multiply
    2,324.84x = 3,487.06 × 1,508.25
  4. Step 4: Simplify right side
    2,324.84x = 5,259,358.25
  5. Step 5: Solve for x
    x = 5,259,358.25/2,324.84
  6. Step 6: Final answer
    x = 2,262.25

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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.