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Finding the Fourth Proportional to 3,145.54, 4,340.82 and 1,748.26

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Solution

The fourth proportional to 3,145.54, 4,340.82 and 1,748.26 is: 2,412.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.54 : 4,340.82 = 1,748.26 : x
  2. Step 2: Convert to fraction form
    3,145.54/4,340.82 = 1,748.26/x
  3. Step 3: Cross multiply
    3,145.54x = 4,340.82 × 1,748.26
  4. Step 4: Simplify right side
    3,145.54x = 7,588,881.97
  5. Step 5: Solve for x
    x = 7,588,881.97/3,145.54
  6. Step 6: Final answer
    x = 2,412.58

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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.