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Finding the Fourth Proportional to 2,842.62, 4,265.86 and 993.74

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Solution

The fourth proportional to 2,842.62, 4,265.86 and 993.74 is: 1,491.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.62 : 4,265.86 = 993.74 : x
  2. Step 2: Convert to fraction form
    2,842.62/4,265.86 = 993.74/x
  3. Step 3: Cross multiply
    2,842.62x = 4,265.86 × 993.74
  4. Step 4: Simplify right side
    2,842.62x = 4,239,155.72
  5. Step 5: Solve for x
    x = 4,239,155.72/2,842.62
  6. Step 6: Final answer
    x = 1,491.28

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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.