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Finding the Fourth Proportional to 1,691.61, 2,334.70 and 1,062.23

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Solution

The fourth proportional to 1,691.61, 2,334.70 and 1,062.23 is: 1,466.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.61 : 2,334.70 = 1,062.23 : x
  2. Step 2: Convert to fraction form
    1,691.61/2,334.70 = 1,062.23/x
  3. Step 3: Cross multiply
    1,691.61x = 2,334.70 × 1,062.23
  4. Step 4: Simplify right side
    1,691.61x = 2,479,983.07
  5. Step 5: Solve for x
    x = 2,479,983.07/1,691.61
  6. Step 6: Final answer
    x = 1,466.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.