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Finding the Fourth Proportional to 1,976.98, 2,965.58 and 881.42

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Solution

The fourth proportional to 1,976.98, 2,965.58 and 881.42 is: 1,322.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.98 : 2,965.58 = 881.42 : x
  2. Step 2: Convert to fraction form
    1,976.98/2,965.58 = 881.42/x
  3. Step 3: Cross multiply
    1,976.98x = 2,965.58 × 881.42
  4. Step 4: Simplify right side
    1,976.98x = 2,613,921.52
  5. Step 5: Solve for x
    x = 2,613,921.52/1,976.98
  6. Step 6: Final answer
    x = 1,322.18

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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.