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Finding the Fourth Proportional to 2,348.72, 3,523.08 and 962.08

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Solution

The fourth proportional to 2,348.72, 3,523.08 and 962.08 is: 1,443.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.72 : 3,523.08 = 962.08 : x
  2. Step 2: Convert to fraction form
    2,348.72/3,523.08 = 962.08/x
  3. Step 3: Cross multiply
    2,348.72x = 3,523.08 × 962.08
  4. Step 4: Simplify right side
    2,348.72x = 3,389,484.81
  5. Step 5: Solve for x
    x = 3,389,484.81/2,348.72
  6. Step 6: Final answer
    x = 1,443.12

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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.