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Finding the Fourth Proportional to 1,987.16, 2,976.42 and 959

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Solution

The fourth proportional to 1,987.16, 2,976.42 and 959 is: 1,436.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.16 : 2,976.42 = 959 : x
  2. Step 2: Convert to fraction form
    1,987.16/2,976.42 = 959/x
  3. Step 3: Cross multiply
    1,987.16x = 2,976.42 × 959
  4. Step 4: Simplify right side
    1,987.16x = 2,854,386.78
  5. Step 5: Solve for x
    x = 2,854,386.78/1,987.16
  6. Step 6: Final answer
    x = 1,436.42

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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.