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Finding the Fourth Proportional to 2,225.64, 3,337.78 and 764.45

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Solution

The fourth proportional to 2,225.64, 3,337.78 and 764.45 is: 1,146.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225.64 : 3,337.78 = 764.45 : x
  2. Step 2: Convert to fraction form
    2,225.64/3,337.78 = 764.45/x
  3. Step 3: Cross multiply
    2,225.64x = 3,337.78 × 764.45
  4. Step 4: Simplify right side
    2,225.64x = 2,551,565.92
  5. Step 5: Solve for x
    x = 2,551,565.92/2,225.64
  6. Step 6: Final answer
    x = 1,146.44

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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.