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Finding the Fourth Proportional to 2,537.74, 3,502.88 and 1,641.88

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Solution

The fourth proportional to 2,537.74, 3,502.88 and 1,641.88 is: 2,266.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537.74 : 3,502.88 = 1,641.88 : x
  2. Step 2: Convert to fraction form
    2,537.74/3,502.88 = 1,641.88/x
  3. Step 3: Cross multiply
    2,537.74x = 3,502.88 × 1,641.88
  4. Step 4: Simplify right side
    2,537.74x = 5,751,308.61
  5. Step 5: Solve for x
    x = 5,751,308.61/2,537.74
  6. Step 6: Final answer
    x = 2,266.31

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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.