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Finding the Fourth Proportional to 3,048.64, 4,575.12 and 2,281.12

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Solution

The fourth proportional to 3,048.64, 4,575.12 and 2,281.12 is: 3,423.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,048.64 : 4,575.12 = 2,281.12 : x
  2. Step 2: Convert to fraction form
    3,048.64/4,575.12 = 2,281.12/x
  3. Step 3: Cross multiply
    3,048.64x = 4,575.12 × 2,281.12
  4. Step 4: Simplify right side
    3,048.64x = 10,436,397.73
  5. Step 5: Solve for x
    x = 10,436,397.73/3,048.64
  6. Step 6: Final answer
    x = 3,423.30

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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.