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Finding the Fourth Proportional to 2,154.17, 2,974.16 and 1,358.69

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Solution

The fourth proportional to 2,154.17, 2,974.16 and 1,358.69 is: 1,875.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.17 : 2,974.16 = 1,358.69 : x
  2. Step 2: Convert to fraction form
    2,154.17/2,974.16 = 1,358.69/x
  3. Step 3: Cross multiply
    2,154.17x = 2,974.16 × 1,358.69
  4. Step 4: Simplify right side
    2,154.17x = 4,040,949.98
  5. Step 5: Solve for x
    x = 4,040,949.98/2,154.17
  6. Step 6: Final answer
    x = 1,875.88

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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.