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Finding the Fourth Proportional to 1,987.24, 2,981.02 and 688.68

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Solution

The fourth proportional to 1,987.24, 2,981.02 and 688.68 is: 1,033.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.24 : 2,981.02 = 688.68 : x
  2. Step 2: Convert to fraction form
    1,987.24/2,981.02 = 688.68/x
  3. Step 3: Cross multiply
    1,987.24x = 2,981.02 × 688.68
  4. Step 4: Simplify right side
    1,987.24x = 2,052,968.85
  5. Step 5: Solve for x
    x = 2,052,968.85/1,987.24
  6. Step 6: Final answer
    x = 1,033.08

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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.