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Finding the Fourth Proportional to 2,498.47, 3,444.68 and 2,048.69

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Solution

The fourth proportional to 2,498.47, 3,444.68 and 2,048.69 is: 2,824.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.47 : 3,444.68 = 2,048.69 : x
  2. Step 2: Convert to fraction form
    2,498.47/3,444.68 = 2,048.69/x
  3. Step 3: Cross multiply
    2,498.47x = 3,444.68 × 2,048.69
  4. Step 4: Simplify right side
    2,498.47x = 7,057,081.47
  5. Step 5: Solve for x
    x = 7,057,081.47/2,498.47
  6. Step 6: Final answer
    x = 2,824.56

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