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Finding the Fourth Proportional to 2,587.74, 3,878.36 and 1,846.18

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Solution

The fourth proportional to 2,587.74, 3,878.36 and 1,846.18 is: 2,766.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587.74 : 3,878.36 = 1,846.18 : x
  2. Step 2: Convert to fraction form
    2,587.74/3,878.36 = 1,846.18/x
  3. Step 3: Cross multiply
    2,587.74x = 3,878.36 × 1,846.18
  4. Step 4: Simplify right side
    2,587.74x = 7,160,150.66
  5. Step 5: Solve for x
    x = 7,160,150.66/2,587.74
  6. Step 6: Final answer
    x = 2,766.95

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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.