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Finding the Fourth Proportional to 2,937.75, 4,406.55 and 716.59

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Solution

The fourth proportional to 2,937.75, 4,406.55 and 716.59 is: 1,074.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,937.75 : 4,406.55 = 716.59 : x
  2. Step 2: Convert to fraction form
    2,937.75/4,406.55 = 716.59/x
  3. Step 3: Cross multiply
    2,937.75x = 4,406.55 × 716.59
  4. Step 4: Simplify right side
    2,937.75x = 3,157,689.66
  5. Step 5: Solve for x
    x = 3,157,689.66/2,937.75
  6. Step 6: Final answer
    x = 1,074.87

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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.