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Finding the Fourth Proportional to 3,165.42, 4,748.86 and 2,242.74

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Solution

The fourth proportional to 3,165.42, 4,748.86 and 2,242.74 is: 3,364.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.42 : 4,748.86 = 2,242.74 : x
  2. Step 2: Convert to fraction form
    3,165.42/4,748.86 = 2,242.74/x
  3. Step 3: Cross multiply
    3,165.42x = 4,748.86 × 2,242.74
  4. Step 4: Simplify right side
    3,165.42x = 10,650,458.28
  5. Step 5: Solve for x
    x = 10,650,458.28/3,165.42
  6. Step 6: Final answer
    x = 3,364.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.