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Finding the Fourth Proportional to 2,292.40, 3,438.96 and 1,369

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Solution

The fourth proportional to 2,292.40, 3,438.96 and 1,369 is: 2,053.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.40 : 3,438.96 = 1,369 : x
  2. Step 2: Convert to fraction form
    2,292.40/3,438.96 = 1,369/x
  3. Step 3: Cross multiply
    2,292.40x = 3,438.96 × 1,369
  4. Step 4: Simplify right side
    2,292.40x = 4,707,936.24
  5. Step 5: Solve for x
    x = 4,707,936.24/2,292.40
  6. Step 6: Final answer
    x = 2,053.71

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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.