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Finding the Fourth Proportional to 2,343.95, 3,234.10 and 1,400.04

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Solution

The fourth proportional to 2,343.95, 3,234.10 and 1,400.04 is: 1,931.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343.95 : 3,234.10 = 1,400.04 : x
  2. Step 2: Convert to fraction form
    2,343.95/3,234.10 = 1,400.04/x
  3. Step 3: Cross multiply
    2,343.95x = 3,234.10 × 1,400.04
  4. Step 4: Simplify right side
    2,343.95x = 4,527,869.36
  5. Step 5: Solve for x
    x = 4,527,869.36/2,343.95
  6. Step 6: Final answer
    x = 1,931.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.