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Finding the Fourth Proportional to 2,938.32, 4,054.91 and 1,612

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Solution

The fourth proportional to 2,938.32, 4,054.91 and 1,612 is: 2,224.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938.32 : 4,054.91 = 1,612 : x
  2. Step 2: Convert to fraction form
    2,938.32/4,054.91 = 1,612/x
  3. Step 3: Cross multiply
    2,938.32x = 4,054.91 × 1,612
  4. Step 4: Simplify right side
    2,938.32x = 6,536,514.92
  5. Step 5: Solve for x
    x = 6,536,514.92/2,938.32
  6. Step 6: Final answer
    x = 2,224.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.