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Finding the Fourth Proportional to 2,583.92, 3,875.93 and 636.14

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Solution

The fourth proportional to 2,583.92, 3,875.93 and 636.14 is: 954.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.92 : 3,875.93 = 636.14 : x
  2. Step 2: Convert to fraction form
    2,583.92/3,875.93 = 636.14/x
  3. Step 3: Cross multiply
    2,583.92x = 3,875.93 × 636.14
  4. Step 4: Simplify right side
    2,583.92x = 2,465,634.11
  5. Step 5: Solve for x
    x = 2,465,634.11/2,583.92
  6. Step 6: Final answer
    x = 954.22

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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.