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Finding the Fourth Proportional to 2,583.66, 3,878.22 and 1,610.43

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Solution

The fourth proportional to 2,583.66, 3,878.22 and 1,610.43 is: 2,417.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.66 : 3,878.22 = 1,610.43 : x
  2. Step 2: Convert to fraction form
    2,583.66/3,878.22 = 1,610.43/x
  3. Step 3: Cross multiply
    2,583.66x = 3,878.22 × 1,610.43
  4. Step 4: Simplify right side
    2,583.66x = 6,245,601.83
  5. Step 5: Solve for x
    x = 6,245,601.83/2,583.66
  6. Step 6: Final answer
    x = 2,417.35

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Why These Related Problems?

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