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Finding the Fourth Proportional to 1,744.49, 2,617.45 and 705.23

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Solution

The fourth proportional to 1,744.49, 2,617.45 and 705.23 is: 1,058.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.49 : 2,617.45 = 705.23 : x
  2. Step 2: Convert to fraction form
    1,744.49/2,617.45 = 705.23/x
  3. Step 3: Cross multiply
    1,744.49x = 2,617.45 × 705.23
  4. Step 4: Simplify right side
    1,744.49x = 1,845,891.18
  5. Step 5: Solve for x
    x = 1,845,891.18/1,744.49
  6. Step 6: Final answer
    x = 1,058.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.