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Finding the Fourth Proportional to 2,506.32, 3,742.20 and 2,140.92

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Solution

The fourth proportional to 2,506.32, 3,742.20 and 2,140.92 is: 3,196.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506.32 : 3,742.20 = 2,140.92 : x
  2. Step 2: Convert to fraction form
    2,506.32/3,742.20 = 2,140.92/x
  3. Step 3: Cross multiply
    2,506.32x = 3,742.20 × 2,140.92
  4. Step 4: Simplify right side
    2,506.32x = 8,011,750.82
  5. Step 5: Solve for x
    x = 8,011,750.82/2,506.32
  6. Step 6: Final answer
    x = 3,196.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.