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Finding the Fourth Proportional to 2,139.96, 3,211.32 and 841.52

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Solution

The fourth proportional to 2,139.96, 3,211.32 and 841.52 is: 1,262.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.96 : 3,211.32 = 841.52 : x
  2. Step 2: Convert to fraction form
    2,139.96/3,211.32 = 841.52/x
  3. Step 3: Cross multiply
    2,139.96x = 3,211.32 × 841.52
  4. Step 4: Simplify right side
    2,139.96x = 2,702,390.01
  5. Step 5: Solve for x
    x = 2,702,390.01/2,139.96
  6. Step 6: Final answer
    x = 1,262.82

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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.