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Finding the Fourth Proportional to 2,743.32, 4,114.92 and 988.26

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Solution

The fourth proportional to 2,743.32, 4,114.92 and 988.26 is: 1,482.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743.32 : 4,114.92 = 988.26 : x
  2. Step 2: Convert to fraction form
    2,743.32/4,114.92 = 988.26/x
  3. Step 3: Cross multiply
    2,743.32x = 4,114.92 × 988.26
  4. Step 4: Simplify right side
    2,743.32x = 4,066,610.84
  5. Step 5: Solve for x
    x = 4,066,610.84/2,743.32
  6. Step 6: Final answer
    x = 1,482.37

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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.