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Finding the Fourth Proportional to 2,914.52, 4,370.16 and 965.66

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Solution

The fourth proportional to 2,914.52, 4,370.16 and 965.66 is: 1,447.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914.52 : 4,370.16 = 965.66 : x
  2. Step 2: Convert to fraction form
    2,914.52/4,370.16 = 965.66/x
  3. Step 3: Cross multiply
    2,914.52x = 4,370.16 × 965.66
  4. Step 4: Simplify right side
    2,914.52x = 4,220,088.71
  5. Step 5: Solve for x
    x = 4,220,088.71/2,914.52
  6. Step 6: Final answer
    x = 1,447.95

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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.