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Finding the Fourth Proportional to 3,145.32, 4,340.42 and 1,748.16

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Solution

The fourth proportional to 3,145.32, 4,340.42 and 1,748.16 is: 2,412.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.32 : 4,340.42 = 1,748.16 : x
  2. Step 2: Convert to fraction form
    3,145.32/4,340.42 = 1,748.16/x
  3. Step 3: Cross multiply
    3,145.32x = 4,340.42 × 1,748.16
  4. Step 4: Simplify right side
    3,145.32x = 7,587,748.63
  5. Step 5: Solve for x
    x = 7,587,748.63/3,145.32
  6. Step 6: Final answer
    x = 2,412.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.