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Finding the Fourth Proportional to 2,566.08, 3,844.80 and 2,052

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Solution

The fourth proportional to 2,566.08, 3,844.80 and 2,052 is: 3,074.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.08 : 3,844.80 = 2,052 : x
  2. Step 2: Convert to fraction form
    2,566.08/3,844.80 = 2,052/x
  3. Step 3: Cross multiply
    2,566.08x = 3,844.80 × 2,052
  4. Step 4: Simplify right side
    2,566.08x = 7,889,529.60
  5. Step 5: Solve for x
    x = 7,889,529.60/2,566.08
  6. Step 6: Final answer
    x = 3,074.55

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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.