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Finding the Fourth Proportional to 2,641.74, 3,963.30 and 998.76

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Solution

The fourth proportional to 2,641.74, 3,963.30 and 998.76 is: 1,498.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.74 : 3,963.30 = 998.76 : x
  2. Step 2: Convert to fraction form
    2,641.74/3,963.30 = 998.76/x
  3. Step 3: Cross multiply
    2,641.74x = 3,963.30 × 998.76
  4. Step 4: Simplify right side
    2,641.74x = 3,958,385.51
  5. Step 5: Solve for x
    x = 3,958,385.51/2,641.74
  6. Step 6: Final answer
    x = 1,498.40

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1.5x scale

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.