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Finding the Fourth Proportional to 2,742.84, 4,090.86 and 2,494.98

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Solution

The fourth proportional to 2,742.84, 4,090.86 and 2,494.98 is: 3,721.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.84 : 4,090.86 = 2,494.98 : x
  2. Step 2: Convert to fraction form
    2,742.84/4,090.86 = 2,494.98/x
  3. Step 3: Cross multiply
    2,742.84x = 4,090.86 × 2,494.98
  4. Step 4: Simplify right side
    2,742.84x = 10,206,613.88
  5. Step 5: Solve for x
    x = 10,206,613.88/2,742.84
  6. Step 6: Final answer
    x = 3,721.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.