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Finding the Fourth Proportional to 3,155.48, 4,355.22 and 1,829.24

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Solution

The fourth proportional to 3,155.48, 4,355.22 and 1,829.24 is: 2,524.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,155.48 : 4,355.22 = 1,829.24 : x
  2. Step 2: Convert to fraction form
    3,155.48/4,355.22 = 1,829.24/x
  3. Step 3: Cross multiply
    3,155.48x = 4,355.22 × 1,829.24
  4. Step 4: Simplify right side
    3,155.48x = 7,966,742.63
  5. Step 5: Solve for x
    x = 7,966,742.63/3,155.48
  6. Step 6: Final answer
    x = 2,524.73

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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.