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Finding the Fourth Proportional to 2,690.12, 4,031.76 and 2,342

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Solution

The fourth proportional to 2,690.12, 4,031.76 and 2,342 is: 3,510.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.12 : 4,031.76 = 2,342 : x
  2. Step 2: Convert to fraction form
    2,690.12/4,031.76 = 2,342/x
  3. Step 3: Cross multiply
    2,690.12x = 4,031.76 × 2,342
  4. Step 4: Simplify right side
    2,690.12x = 9,442,381.92
  5. Step 5: Solve for x
    x = 9,442,381.92/2,690.12
  6. Step 6: Final answer
    x = 3,510.02

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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.