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Finding the Fourth Proportional to 2,842.01, 4,264.02 and 993.64

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Solution

The fourth proportional to 2,842.01, 4,264.02 and 993.64 is: 1,490.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.01 : 4,264.02 = 993.64 : x
  2. Step 2: Convert to fraction form
    2,842.01/4,264.02 = 993.64/x
  3. Step 3: Cross multiply
    2,842.01x = 4,264.02 × 993.64
  4. Step 4: Simplify right side
    2,842.01x = 4,236,879.51
  5. Step 5: Solve for x
    x = 4,236,879.51/2,842.01
  6. Step 6: Final answer
    x = 1,490.80

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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.