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Finding the Fourth Proportional to 2,123.92, 3,185.88 and 663.16

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Solution

The fourth proportional to 2,123.92, 3,185.88 and 663.16 is: 994.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.92 : 3,185.88 = 663.16 : x
  2. Step 2: Convert to fraction form
    2,123.92/3,185.88 = 663.16/x
  3. Step 3: Cross multiply
    2,123.92x = 3,185.88 × 663.16
  4. Step 4: Simplify right side
    2,123.92x = 2,112,748.18
  5. Step 5: Solve for x
    x = 2,112,748.18/2,123.92
  6. Step 6: Final answer
    x = 994.74

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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.