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Finding the Fourth Proportional to 1,744.95, 2,617.98 and 1,561.17

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Solution

The fourth proportional to 1,744.95, 2,617.98 and 1,561.17 is: 2,342.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.95 : 2,617.98 = 1,561.17 : x
  2. Step 2: Convert to fraction form
    1,744.95/2,617.98 = 1,561.17/x
  3. Step 3: Cross multiply
    1,744.95x = 2,617.98 × 1,561.17
  4. Step 4: Simplify right side
    1,744.95x = 4,087,111.84
  5. Step 5: Solve for x
    x = 4,087,111.84/1,744.95
  6. Step 6: Final answer
    x = 2,342.25

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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.