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Finding the Fourth Proportional to 2,901.35, 4,350.74 and 926.61

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Solution

The fourth proportional to 2,901.35, 4,350.74 and 926.61 is: 1,389.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,901.35 : 4,350.74 = 926.61 : x
  2. Step 2: Convert to fraction form
    2,901.35/4,350.74 = 926.61/x
  3. Step 3: Cross multiply
    2,901.35x = 4,350.74 × 926.61
  4. Step 4: Simplify right side
    2,901.35x = 4,031,434.56
  5. Step 5: Solve for x
    x = 4,031,434.56/2,901.35
  6. Step 6: Final answer
    x = 1,389.51

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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.