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Finding the Fourth Proportional to 2,358.84, 3,253.97 and 1,414.18

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Solution

The fourth proportional to 2,358.84, 3,253.97 and 1,414.18 is: 1,950.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.84 : 3,253.97 = 1,414.18 : x
  2. Step 2: Convert to fraction form
    2,358.84/3,253.97 = 1,414.18/x
  3. Step 3: Cross multiply
    2,358.84x = 3,253.97 × 1,414.18
  4. Step 4: Simplify right side
    2,358.84x = 4,601,688.59
  5. Step 5: Solve for x
    x = 4,601,688.59/2,358.84
  6. Step 6: Final answer
    x = 1,950.83

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1.5x scale

Why These Related Problems?

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