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Finding the Fourth Proportional to 2,583.52, 3,875.22 and 635.72

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Solution

The fourth proportional to 2,583.52, 3,875.22 and 635.72 is: 953.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.52 : 3,875.22 = 635.72 : x
  2. Step 2: Convert to fraction form
    2,583.52/3,875.22 = 635.72/x
  3. Step 3: Cross multiply
    2,583.52x = 3,875.22 × 635.72
  4. Step 4: Simplify right side
    2,583.52x = 2,463,554.86
  5. Step 5: Solve for x
    x = 2,463,554.86/2,583.52
  6. Step 6: Final answer
    x = 953.57

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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.