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Finding the Fourth Proportional to 2,693.64, 4,042.08 and 2,671.68

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Solution

The fourth proportional to 2,693.64, 4,042.08 and 2,671.68 is: 4,009.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693.64 : 4,042.08 = 2,671.68 : x
  2. Step 2: Convert to fraction form
    2,693.64/4,042.08 = 2,671.68/x
  3. Step 3: Cross multiply
    2,693.64x = 4,042.08 × 2,671.68
  4. Step 4: Simplify right side
    2,693.64x = 10,799,144.29
  5. Step 5: Solve for x
    x = 10,799,144.29/2,693.64
  6. Step 6: Final answer
    x = 4,009.13

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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.