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Finding the Fourth Proportional to 2,878.56, 3,974.22 and 2,283.48

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Solution

The fourth proportional to 2,878.56, 3,974.22 and 2,283.48 is: 3,152.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.56 : 3,974.22 = 2,283.48 : x
  2. Step 2: Convert to fraction form
    2,878.56/3,974.22 = 2,283.48/x
  3. Step 3: Cross multiply
    2,878.56x = 3,974.22 × 2,283.48
  4. Step 4: Simplify right side
    2,878.56x = 9,075,051.89
  5. Step 5: Solve for x
    x = 9,075,051.89/2,878.56
  6. Step 6: Final answer
    x = 3,152.64

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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.