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Finding the Fourth Proportional to 3,452.02, 5,178.01 and 1,503.76

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Solution

The fourth proportional to 3,452.02, 5,178.01 and 1,503.76 is: 2,255.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.02 : 5,178.01 = 1,503.76 : x
  2. Step 2: Convert to fraction form
    3,452.02/5,178.01 = 1,503.76/x
  3. Step 3: Cross multiply
    3,452.02x = 5,178.01 × 1,503.76
  4. Step 4: Simplify right side
    3,452.02x = 7,786,484.32
  5. Step 5: Solve for x
    x = 7,786,484.32/3,452.02
  6. Step 6: Final answer
    x = 2,255.63

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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.