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Finding the Fourth Proportional to 2,496.12, 3,743.22 and 740.64

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Solution

The fourth proportional to 2,496.12, 3,743.22 and 740.64 is: 1,110.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496.12 : 3,743.22 = 740.64 : x
  2. Step 2: Convert to fraction form
    2,496.12/3,743.22 = 740.64/x
  3. Step 3: Cross multiply
    2,496.12x = 3,743.22 × 740.64
  4. Step 4: Simplify right side
    2,496.12x = 2,772,378.46
  5. Step 5: Solve for x
    x = 2,772,378.46/2,496.12
  6. Step 6: Final answer
    x = 1,110.68

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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.