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Finding the Fourth Proportional to 2,225.29, 3,337.94 and 926.77

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Solution

The fourth proportional to 2,225.29, 3,337.94 and 926.77 is: 1,390.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225.29 : 3,337.94 = 926.77 : x
  2. Step 2: Convert to fraction form
    2,225.29/3,337.94 = 926.77/x
  3. Step 3: Cross multiply
    2,225.29x = 3,337.94 × 926.77
  4. Step 4: Simplify right side
    2,225.29x = 3,093,502.65
  5. Step 5: Solve for x
    x = 3,093,502.65/2,225.29
  6. Step 6: Final answer
    x = 1,390.16

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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.