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Finding the Fourth Proportional to 1,753.88, 2,616.44 and 1,706.19

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Solution

The fourth proportional to 1,753.88, 2,616.44 and 1,706.19 is: 2,545.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753.88 : 2,616.44 = 1,706.19 : x
  2. Step 2: Convert to fraction form
    1,753.88/2,616.44 = 1,706.19/x
  3. Step 3: Cross multiply
    1,753.88x = 2,616.44 × 1,706.19
  4. Step 4: Simplify right side
    1,753.88x = 4,464,135.23
  5. Step 5: Solve for x
    x = 4,464,135.23/1,753.88
  6. Step 6: Final answer
    x = 2,545.30

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.