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Finding the Fourth Proportional to 1,438.84, 2,158.44 and 617.23

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Solution

The fourth proportional to 1,438.84, 2,158.44 and 617.23 is: 925.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.84 : 2,158.44 = 617.23 : x
  2. Step 2: Convert to fraction form
    1,438.84/2,158.44 = 617.23/x
  3. Step 3: Cross multiply
    1,438.84x = 2,158.44 × 617.23
  4. Step 4: Simplify right side
    1,438.84x = 1,332,253.92
  5. Step 5: Solve for x
    x = 1,332,253.92/1,438.84
  6. Step 6: Final answer
    x = 925.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.