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Finding the Fourth Proportional to 2,773.76, 4,160.82 and 924.80

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Solution

The fourth proportional to 2,773.76, 4,160.82 and 924.80 is: 1,387.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.76 : 4,160.82 = 924.80 : x
  2. Step 2: Convert to fraction form
    2,773.76/4,160.82 = 924.80/x
  3. Step 3: Cross multiply
    2,773.76x = 4,160.82 × 924.80
  4. Step 4: Simplify right side
    2,773.76x = 3,847,926.34
  5. Step 5: Solve for x
    x = 3,847,926.34/2,773.76
  6. Step 6: Final answer
    x = 1,387.26

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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.