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Finding the Fourth Proportional to 2,583.64, 3,875.50 and 2,452.36

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Solution

The fourth proportional to 2,583.64, 3,875.50 and 2,452.36 is: 3,678.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.64 : 3,875.50 = 2,452.36 : x
  2. Step 2: Convert to fraction form
    2,583.64/3,875.50 = 2,452.36/x
  3. Step 3: Cross multiply
    2,583.64x = 3,875.50 × 2,452.36
  4. Step 4: Simplify right side
    2,583.64x = 9,504,121.18
  5. Step 5: Solve for x
    x = 9,504,121.18/2,583.64
  6. Step 6: Final answer
    x = 3,678.58

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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.