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Finding the Fourth Proportional to 2,494.88, 3,444.36 and 1,612

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Solution

The fourth proportional to 2,494.88, 3,444.36 and 1,612 is: 2,225.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.88 : 3,444.36 = 1,612 : x
  2. Step 2: Convert to fraction form
    2,494.88/3,444.36 = 1,612/x
  3. Step 3: Cross multiply
    2,494.88x = 3,444.36 × 1,612
  4. Step 4: Simplify right side
    2,494.88x = 5,552,308.32
  5. Step 5: Solve for x
    x = 5,552,308.32/2,494.88
  6. Step 6: Final answer
    x = 2,225.48

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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.