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Finding the Fourth Proportional to 2,842.92, 4,264.04 and 993.89

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Solution

The fourth proportional to 2,842.92, 4,264.04 and 993.89 is: 1,490.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.92 : 4,264.04 = 993.89 : x
  2. Step 2: Convert to fraction form
    2,842.92/4,264.04 = 993.89/x
  3. Step 3: Cross multiply
    2,842.92x = 4,264.04 × 993.89
  4. Step 4: Simplify right side
    2,842.92x = 4,237,999.86
  5. Step 5: Solve for x
    x = 4,237,999.86/2,842.92
  6. Step 6: Final answer
    x = 1,490.72

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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.