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Finding the Fourth Proportional to 2,322.81, 3,484.26 and 762.89

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Solution

The fourth proportional to 2,322.81, 3,484.26 and 762.89 is: 1,144.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.81 : 3,484.26 = 762.89 : x
  2. Step 2: Convert to fraction form
    2,322.81/3,484.26 = 762.89/x
  3. Step 3: Cross multiply
    2,322.81x = 3,484.26 × 762.89
  4. Step 4: Simplify right side
    2,322.81x = 2,658,089.69
  5. Step 5: Solve for x
    x = 2,658,089.69/2,322.81
  6. Step 6: Final answer
    x = 1,144.34

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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.