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Finding the Fourth Proportional to 2,278.44, 3,140.32 and 1,881.32

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Solution

The fourth proportional to 2,278.44, 3,140.32 and 1,881.32 is: 2,592.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.44 : 3,140.32 = 1,881.32 : x
  2. Step 2: Convert to fraction form
    2,278.44/3,140.32 = 1,881.32/x
  3. Step 3: Cross multiply
    2,278.44x = 3,140.32 × 1,881.32
  4. Step 4: Simplify right side
    2,278.44x = 5,907,946.82
  5. Step 5: Solve for x
    x = 5,907,946.82/2,278.44
  6. Step 6: Final answer
    x = 2,592.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.