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Finding the Fourth Proportional to 1,742.12, 2,404.19 and 1,034.33

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Solution

The fourth proportional to 1,742.12, 2,404.19 and 1,034.33 is: 1,427.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.12 : 2,404.19 = 1,034.33 : x
  2. Step 2: Convert to fraction form
    1,742.12/2,404.19 = 1,034.33/x
  3. Step 3: Cross multiply
    1,742.12x = 2,404.19 × 1,034.33
  4. Step 4: Simplify right side
    1,742.12x = 2,486,725.84
  5. Step 5: Solve for x
    x = 2,486,725.84/1,742.12
  6. Step 6: Final answer
    x = 1,427.41

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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.