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Finding the Fourth Proportional to 1,988.47, 2,743.65 and 1,202.50

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Solution

The fourth proportional to 1,988.47, 2,743.65 and 1,202.50 is: 1,659.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,988.47 : 2,743.65 = 1,202.50 : x
  2. Step 2: Convert to fraction form
    1,988.47/2,743.65 = 1,202.50/x
  3. Step 3: Cross multiply
    1,988.47x = 2,743.65 × 1,202.50
  4. Step 4: Simplify right side
    1,988.47x = 3,299,232.27
  5. Step 5: Solve for x
    x = 3,299,232.27/1,988.47
  6. Step 6: Final answer
    x = 1,659.18

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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.