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Finding the Fourth Proportional to 1,723.66, 2,377.87 and 1,024.63

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Solution

The fourth proportional to 1,723.66, 2,377.87 and 1,024.63 is: 1,413.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.66 : 2,377.87 = 1,024.63 : x
  2. Step 2: Convert to fraction form
    1,723.66/2,377.87 = 1,024.63/x
  3. Step 3: Cross multiply
    1,723.66x = 2,377.87 × 1,024.63
  4. Step 4: Simplify right side
    1,723.66x = 2,436,436.94
  5. Step 5: Solve for x
    x = 2,436,436.94/1,723.66
  6. Step 6: Final answer
    x = 1,413.53

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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.