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Finding the Fourth Proportional to 2,124.02, 3,185.87 and 663.13

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Solution

The fourth proportional to 2,124.02, 3,185.87 and 663.13 is: 994.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.02 : 3,185.87 = 663.13 : x
  2. Step 2: Convert to fraction form
    2,124.02/3,185.87 = 663.13/x
  3. Step 3: Cross multiply
    2,124.02x = 3,185.87 × 663.13
  4. Step 4: Simplify right side
    2,124.02x = 2,112,631.70
  5. Step 5: Solve for x
    x = 2,112,631.70/2,124.02
  6. Step 6: Final answer
    x = 994.64

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