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Finding the Fourth Proportional to 3,155.46, 4,354.23 and 1,829.24

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Solution

The fourth proportional to 3,155.46, 4,354.23 and 1,829.24 is: 2,524.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,155.46 : 4,354.23 = 1,829.24 : x
  2. Step 2: Convert to fraction form
    3,155.46/4,354.23 = 1,829.24/x
  3. Step 3: Cross multiply
    3,155.46x = 4,354.23 × 1,829.24
  4. Step 4: Simplify right side
    3,155.46x = 7,964,931.69
  5. Step 5: Solve for x
    x = 7,964,931.69/3,155.46
  6. Step 6: Final answer
    x = 2,524.17

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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.