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Finding the Fourth Proportional to 3,145.68, 4,340.88 and 1,748.40

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Solution

The fourth proportional to 3,145.68, 4,340.88 and 1,748.40 is: 2,412.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.68 : 4,340.88 = 1,748.40 : x
  2. Step 2: Convert to fraction form
    3,145.68/4,340.88 = 1,748.40/x
  3. Step 3: Cross multiply
    3,145.68x = 4,340.88 × 1,748.40
  4. Step 4: Simplify right side
    3,145.68x = 7,589,594.59
  5. Step 5: Solve for x
    x = 7,589,594.59/3,145.68
  6. Step 6: Final answer
    x = 2,412.70

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1.5x scale

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.