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Finding the Fourth Proportional to 2,594.65, 3,883.42 and 2,498.28

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Solution

The fourth proportional to 2,594.65, 3,883.42 and 2,498.28 is: 3,739.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.65 : 3,883.42 = 2,498.28 : x
  2. Step 2: Convert to fraction form
    2,594.65/3,883.42 = 2,498.28/x
  3. Step 3: Cross multiply
    2,594.65x = 3,883.42 × 2,498.28
  4. Step 4: Simplify right side
    2,594.65x = 9,701,870.52
  5. Step 5: Solve for x
    x = 9,701,870.52/2,594.65
  6. Step 6: Final answer
    x = 3,739.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.