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Finding the Fourth Proportional to 2,292.96, 3,439.44 and 924

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Solution

The fourth proportional to 2,292.96, 3,439.44 and 924 is: 1,386

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.96 : 3,439.44 = 924 : x
  2. Step 2: Convert to fraction form
    2,292.96/3,439.44 = 924/x
  3. Step 3: Cross multiply
    2,292.96x = 3,439.44 × 924
  4. Step 4: Simplify right side
    2,292.96x = 3,178,042.56
  5. Step 5: Solve for x
    x = 3,178,042.56/2,292.96
  6. Step 6: Final answer
    x = 1,386

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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.