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Finding the Fourth Proportional to 1,693.66, 2,540.58 and 718.78

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Solution

The fourth proportional to 1,693.66, 2,540.58 and 718.78 is: 1,078.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.66 : 2,540.58 = 718.78 : x
  2. Step 2: Convert to fraction form
    1,693.66/2,540.58 = 718.78/x
  3. Step 3: Cross multiply
    1,693.66x = 2,540.58 × 718.78
  4. Step 4: Simplify right side
    1,693.66x = 1,826,118.09
  5. Step 5: Solve for x
    x = 1,826,118.09/1,693.66
  6. Step 6: Final answer
    x = 1,078.21

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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.