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Finding the Fourth Proportional to 2,564.87, 3,844.18 and 1,176.27

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Solution

The fourth proportional to 2,564.87, 3,844.18 and 1,176.27 is: 1,762.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.87 : 3,844.18 = 1,176.27 : x
  2. Step 2: Convert to fraction form
    2,564.87/3,844.18 = 1,176.27/x
  3. Step 3: Cross multiply
    2,564.87x = 3,844.18 × 1,176.27
  4. Step 4: Simplify right side
    2,564.87x = 4,521,805.60
  5. Step 5: Solve for x
    x = 4,521,805.60/2,564.87
  6. Step 6: Final answer
    x = 1,762.98

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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.