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Finding the Fourth Proportional to 2,583.33, 3,875.07 and 635.55

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Solution

The fourth proportional to 2,583.33, 3,875.07 and 635.55 is: 953.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.33 : 3,875.07 = 635.55 : x
  2. Step 2: Convert to fraction form
    2,583.33/3,875.07 = 635.55/x
  3. Step 3: Cross multiply
    2,583.33x = 3,875.07 × 635.55
  4. Step 4: Simplify right side
    2,583.33x = 2,462,800.74
  5. Step 5: Solve for x
    x = 2,462,800.74/2,583.33
  6. Step 6: Final answer
    x = 953.34

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