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Finding the Fourth Proportional to 2,244.76, 3,367.12 and 705.76

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Solution

The fourth proportional to 2,244.76, 3,367.12 and 705.76 is: 1,058.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,244.76 : 3,367.12 = 705.76 : x
  2. Step 2: Convert to fraction form
    2,244.76/3,367.12 = 705.76/x
  3. Step 3: Cross multiply
    2,244.76x = 3,367.12 × 705.76
  4. Step 4: Simplify right side
    2,244.76x = 2,376,378.61
  5. Step 5: Solve for x
    x = 2,376,378.61/2,244.76
  6. Step 6: Final answer
    x = 1,058.63

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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.