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Finding the Fourth Proportional to 2,486.25, 3,726.90 and 1,026.63

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Solution

The fourth proportional to 2,486.25, 3,726.90 and 1,026.63 is: 1,538.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.25 : 3,726.90 = 1,026.63 : x
  2. Step 2: Convert to fraction form
    2,486.25/3,726.90 = 1,026.63/x
  3. Step 3: Cross multiply
    2,486.25x = 3,726.90 × 1,026.63
  4. Step 4: Simplify right side
    2,486.25x = 3,826,147.35
  5. Step 5: Solve for x
    x = 3,826,147.35/2,486.25
  6. Step 6: Final answer
    x = 1,538.92

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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.