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Finding the Fourth Proportional to 2,182.53, 3,271.35 and 865.08

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Solution

The fourth proportional to 2,182.53, 3,271.35 and 865.08 is: 1,296.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.53 : 3,271.35 = 865.08 : x
  2. Step 2: Convert to fraction form
    2,182.53/3,271.35 = 865.08/x
  3. Step 3: Cross multiply
    2,182.53x = 3,271.35 × 865.08
  4. Step 4: Simplify right side
    2,182.53x = 2,829,979.46
  5. Step 5: Solve for x
    x = 2,829,979.46/2,182.53
  6. Step 6: Final answer
    x = 1,296.65

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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.