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Finding the Fourth Proportional to 2,566.06, 3,848.74 and 922.38

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Solution

The fourth proportional to 2,566.06, 3,848.74 and 922.38 is: 1,383.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.06 : 3,848.74 = 922.38 : x
  2. Step 2: Convert to fraction form
    2,566.06/3,848.74 = 922.38/x
  3. Step 3: Cross multiply
    2,566.06x = 3,848.74 × 922.38
  4. Step 4: Simplify right side
    2,566.06x = 3,550,000.80
  5. Step 5: Solve for x
    x = 3,550,000.80/2,566.06
  6. Step 6: Final answer
    x = 1,383.44

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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.