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Finding the Fourth Proportional to 2,267.84, 3,129.96 and 1,384.15

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Solution

The fourth proportional to 2,267.84, 3,129.96 and 1,384.15 is: 1,910.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.84 : 3,129.96 = 1,384.15 : x
  2. Step 2: Convert to fraction form
    2,267.84/3,129.96 = 1,384.15/x
  3. Step 3: Cross multiply
    2,267.84x = 3,129.96 × 1,384.15
  4. Step 4: Simplify right side
    2,267.84x = 4,332,332.86
  5. Step 5: Solve for x
    x = 4,332,332.86/2,267.84
  6. Step 6: Final answer
    x = 1,910.34

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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.