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Finding the Fourth Proportional to 2,663.64, 3,975.12 and 2,372.04

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Solution

The fourth proportional to 2,663.64, 3,975.12 and 2,372.04 is: 3,539.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.64 : 3,975.12 = 2,372.04 : x
  2. Step 2: Convert to fraction form
    2,663.64/3,975.12 = 2,372.04/x
  3. Step 3: Cross multiply
    2,663.64x = 3,975.12 × 2,372.04
  4. Step 4: Simplify right side
    2,663.64x = 9,429,143.64
  5. Step 5: Solve for x
    x = 9,429,143.64/2,663.64
  6. Step 6: Final answer
    x = 3,539.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.