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Finding the Fourth Proportional to 2,484.96, 3,728.22 and 1,024.80

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Solution

The fourth proportional to 2,484.96, 3,728.22 and 1,024.80 is: 1,537.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,484.96 : 3,728.22 = 1,024.80 : x
  2. Step 2: Convert to fraction form
    2,484.96/3,728.22 = 1,024.80/x
  3. Step 3: Cross multiply
    2,484.96x = 3,728.22 × 1,024.80
  4. Step 4: Simplify right side
    2,484.96x = 3,820,679.86
  5. Step 5: Solve for x
    x = 3,820,679.86/2,484.96
  6. Step 6: Final answer
    x = 1,537.52

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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.