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Finding the Fourth Proportional to 2,676.90, 3,693.87 and 1,557.81

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Solution

The fourth proportional to 2,676.90, 3,693.87 and 1,557.81 is: 2,149.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676.90 : 3,693.87 = 1,557.81 : x
  2. Step 2: Convert to fraction form
    2,676.90/3,693.87 = 1,557.81/x
  3. Step 3: Cross multiply
    2,676.90x = 3,693.87 × 1,557.81
  4. Step 4: Simplify right side
    2,676.90x = 5,754,347.62
  5. Step 5: Solve for x
    x = 5,754,347.62/2,676.90
  6. Step 6: Final answer
    x = 2,149.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.