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Finding the Fourth Proportional to 1,743.75, 2,407.59 and 1,220.49

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Solution

The fourth proportional to 1,743.75, 2,407.59 and 1,220.49 is: 1,685.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.75 : 2,407.59 = 1,220.49 : x
  2. Step 2: Convert to fraction form
    1,743.75/2,407.59 = 1,220.49/x
  3. Step 3: Cross multiply
    1,743.75x = 2,407.59 × 1,220.49
  4. Step 4: Simplify right side
    1,743.75x = 2,938,439.52
  5. Step 5: Solve for x
    x = 2,938,439.52/1,743.75
  6. Step 6: Final answer
    x = 1,685.13

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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.