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Finding the Fourth Proportional to 2,182.98, 3,271.86 and 1,011.40

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Solution

The fourth proportional to 2,182.98, 3,271.86 and 1,011.40 is: 1,515.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.98 : 3,271.86 = 1,011.40 : x
  2. Step 2: Convert to fraction form
    2,182.98/3,271.86 = 1,011.40/x
  3. Step 3: Cross multiply
    2,182.98x = 3,271.86 × 1,011.40
  4. Step 4: Simplify right side
    2,182.98x = 3,309,151.02
  5. Step 5: Solve for x
    x = 3,309,151.02/2,182.98
  6. Step 6: Final answer
    x = 1,515.88

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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.