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Finding the Fourth Proportional to 1,723.61, 2,377.82 and 1,060.22

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Solution

The fourth proportional to 1,723.61, 2,377.82 and 1,060.22 is: 1,462.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.61 : 2,377.82 = 1,060.22 : x
  2. Step 2: Convert to fraction form
    1,723.61/2,377.82 = 1,060.22/x
  3. Step 3: Cross multiply
    1,723.61x = 2,377.82 × 1,060.22
  4. Step 4: Simplify right side
    1,723.61x = 2,520,995.13
  5. Step 5: Solve for x
    x = 2,520,995.13/1,723.61
  6. Step 6: Final answer
    x = 1,462.63

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