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Finding the Fourth Proportional to 2,226.16, 3,337.98 and 764.74

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Solution

The fourth proportional to 2,226.16, 3,337.98 and 764.74 is: 1,146.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.16 : 3,337.98 = 764.74 : x
  2. Step 2: Convert to fraction form
    2,226.16/3,337.98 = 764.74/x
  3. Step 3: Cross multiply
    2,226.16x = 3,337.98 × 764.74
  4. Step 4: Simplify right side
    2,226.16x = 2,552,686.83
  5. Step 5: Solve for x
    x = 2,552,686.83/2,226.16
  6. Step 6: Final answer
    x = 1,146.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.