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Finding the Fourth Proportional to 2,397.95, 3,309.50 and 1,454.12

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Solution

The fourth proportional to 2,397.95, 3,309.50 and 1,454.12 is: 2,006.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397.95 : 3,309.50 = 1,454.12 : x
  2. Step 2: Convert to fraction form
    2,397.95/3,309.50 = 1,454.12/x
  3. Step 3: Cross multiply
    2,397.95x = 3,309.50 × 1,454.12
  4. Step 4: Simplify right side
    2,397.95x = 4,812,410.14
  5. Step 5: Solve for x
    x = 4,812,410.14/2,397.95
  6. Step 6: Final answer
    x = 2,006.89

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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.