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Finding the Fourth Proportional to 2,617, 3,612.12 and 1,498.29

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Solution

The fourth proportional to 2,617, 3,612.12 and 1,498.29 is: 2,068.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617 : 3,612.12 = 1,498.29 : x
  2. Step 2: Convert to fraction form
    2,617/3,612.12 = 1,498.29/x
  3. Step 3: Cross multiply
    2,617x = 3,612.12 × 1,498.29
  4. Step 4: Simplify right side
    2,617x = 5,412,003.27
  5. Step 5: Solve for x
    x = 5,412,003.27/2,617
  6. Step 6: Final answer
    x = 2,068.02

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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.