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Finding the Fourth Proportional to 2,523.84, 3,785.04 and 962.76

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Solution

The fourth proportional to 2,523.84, 3,785.04 and 962.76 is: 1,443.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.84 : 3,785.04 = 962.76 : x
  2. Step 2: Convert to fraction form
    2,523.84/3,785.04 = 962.76/x
  3. Step 3: Cross multiply
    2,523.84x = 3,785.04 × 962.76
  4. Step 4: Simplify right side
    2,523.84x = 3,644,085.11
  5. Step 5: Solve for x
    x = 3,644,085.11/2,523.84
  6. Step 6: Final answer
    x = 1,443.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.