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Finding the Fourth Proportional to 3,374.68, 4,657.38 and 2,048.08

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Solution

The fourth proportional to 3,374.68, 4,657.38 and 2,048.08 is: 2,826.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,374.68 : 4,657.38 = 2,048.08 : x
  2. Step 2: Convert to fraction form
    3,374.68/4,657.38 = 2,048.08/x
  3. Step 3: Cross multiply
    3,374.68x = 4,657.38 × 2,048.08
  4. Step 4: Simplify right side
    3,374.68x = 9,538,686.83
  5. Step 5: Solve for x
    x = 9,538,686.83/3,374.68
  6. Step 6: Final answer
    x = 2,826.55

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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.