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Finding the Fourth Proportional to 2,701.65, 3,726.72 and 1,638.93

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Solution

The fourth proportional to 2,701.65, 3,726.72 and 1,638.93 is: 2,260.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.65 : 3,726.72 = 1,638.93 : x
  2. Step 2: Convert to fraction form
    2,701.65/3,726.72 = 1,638.93/x
  3. Step 3: Cross multiply
    2,701.65x = 3,726.72 × 1,638.93
  4. Step 4: Simplify right side
    2,701.65x = 6,107,833.21
  5. Step 5: Solve for x
    x = 6,107,833.21/2,701.65
  6. Step 6: Final answer
    x = 2,260.78

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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.