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Finding the Fourth Proportional to 1,743.33, 2,406.20 and 1,070.97

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Solution

The fourth proportional to 1,743.33, 2,406.20 and 1,070.97 is: 1,478.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.33 : 2,406.20 = 1,070.97 : x
  2. Step 2: Convert to fraction form
    1,743.33/2,406.20 = 1,070.97/x
  3. Step 3: Cross multiply
    1,743.33x = 2,406.20 × 1,070.97
  4. Step 4: Simplify right side
    1,743.33x = 2,576,962.66
  5. Step 5: Solve for x
    x = 2,576,962.66/1,743.33
  6. Step 6: Final answer
    x = 1,478.18

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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.