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Finding the Fourth Proportional to 2,322.67, 3,484.38 and 762.22

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Solution

The fourth proportional to 2,322.67, 3,484.38 and 762.22 is: 1,143.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.67 : 3,484.38 = 762.22 : x
  2. Step 2: Convert to fraction form
    2,322.67/3,484.38 = 762.22/x
  3. Step 3: Cross multiply
    2,322.67x = 3,484.38 × 762.22
  4. Step 4: Simplify right side
    2,322.67x = 2,655,864.12
  5. Step 5: Solve for x
    x = 2,655,864.12/2,322.67
  6. Step 6: Final answer
    x = 1,143.45

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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.