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Finding the Fourth Proportional to 3,145.63, 4,340.78 and 1,748.38

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Solution

The fourth proportional to 3,145.63, 4,340.78 and 1,748.38 is: 2,412.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.63 : 4,340.78 = 1,748.38 : x
  2. Step 2: Convert to fraction form
    3,145.63/4,340.78 = 1,748.38/x
  3. Step 3: Cross multiply
    3,145.63x = 4,340.78 × 1,748.38
  4. Step 4: Simplify right side
    3,145.63x = 7,589,332.94
  5. Step 5: Solve for x
    x = 7,589,332.94/3,145.63
  6. Step 6: Final answer
    x = 2,412.66

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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.