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Finding the Fourth Proportional to 2,583.48, 3,894.69 and 2,416.44

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Solution

The fourth proportional to 2,583.48, 3,894.69 and 2,416.44 is: 3,642.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.48 : 3,894.69 = 2,416.44 : x
  2. Step 2: Convert to fraction form
    2,583.48/3,894.69 = 2,416.44/x
  3. Step 3: Cross multiply
    2,583.48x = 3,894.69 × 2,416.44
  4. Step 4: Simplify right side
    2,583.48x = 9,411,284.70
  5. Step 5: Solve for x
    x = 9,411,284.70/2,583.48
  6. Step 6: Final answer
    x = 3,642.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.