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Finding the Fourth Proportional to 2,392.89, 3,302.46 and 1,508.64

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Solution

The fourth proportional to 2,392.89, 3,302.46 and 1,508.64 is: 2,082.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.89 : 3,302.46 = 1,508.64 : x
  2. Step 2: Convert to fraction form
    2,392.89/3,302.46 = 1,508.64/x
  3. Step 3: Cross multiply
    2,392.89x = 3,302.46 × 1,508.64
  4. Step 4: Simplify right side
    2,392.89x = 4,982,223.25
  5. Step 5: Solve for x
    x = 4,982,223.25/2,392.89
  6. Step 6: Final answer
    x = 2,082.09

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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.