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Finding the Fourth Proportional to 2,642.84, 3,965.70 and 1,488.68

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Solution

The fourth proportional to 2,642.84, 3,965.70 and 1,488.68 is: 2,233.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.84 : 3,965.70 = 1,488.68 : x
  2. Step 2: Convert to fraction form
    2,642.84/3,965.70 = 1,488.68/x
  3. Step 3: Cross multiply
    2,642.84x = 3,965.70 × 1,488.68
  4. Step 4: Simplify right side
    2,642.84x = 5,903,658.28
  5. Step 5: Solve for x
    x = 5,903,658.28/2,642.84
  6. Step 6: Final answer
    x = 2,233.83

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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.