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Finding the Fourth Proportional to 1,581.68, 2,182.14 and 992

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Solution

The fourth proportional to 1,581.68, 2,182.14 and 992 is: 1,368.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.68 : 2,182.14 = 992 : x
  2. Step 2: Convert to fraction form
    1,581.68/2,182.14 = 992/x
  3. Step 3: Cross multiply
    1,581.68x = 2,182.14 × 992
  4. Step 4: Simplify right side
    1,581.68x = 2,164,682.88
  5. Step 5: Solve for x
    x = 2,164,682.88/1,581.68
  6. Step 6: Final answer
    x = 1,368.60

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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.