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Finding the Fourth Proportional to 1,988.46, 2,743.16 and 1,202.40

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Solution

The fourth proportional to 1,988.46, 2,743.16 and 1,202.40 is: 1,658.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,988.46 : 2,743.16 = 1,202.40 : x
  2. Step 2: Convert to fraction form
    1,988.46/2,743.16 = 1,202.40/x
  3. Step 3: Cross multiply
    1,988.46x = 2,743.16 × 1,202.40
  4. Step 4: Simplify right side
    1,988.46x = 3,298,369.57
  5. Step 5: Solve for x
    x = 3,298,369.57/1,988.46
  6. Step 6: Final answer
    x = 1,658.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.