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Finding the Fourth Proportional to 2,426.46, 3,641.49 and 945.91

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Solution

The fourth proportional to 2,426.46, 3,641.49 and 945.91 is: 1,419.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,426.46 : 3,641.49 = 945.91 : x
  2. Step 2: Convert to fraction form
    2,426.46/3,641.49 = 945.91/x
  3. Step 3: Cross multiply
    2,426.46x = 3,641.49 × 945.91
  4. Step 4: Simplify right side
    2,426.46x = 3,444,521.81
  5. Step 5: Solve for x
    x = 3,444,521.81/2,426.46
  6. Step 6: Final answer
    x = 1,419.57

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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.