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Finding the Fourth Proportional to 2,810.54, 3,878.32 and 1,615.72

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Solution

The fourth proportional to 2,810.54, 3,878.32 and 1,615.72 is: 2,229.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.54 : 3,878.32 = 1,615.72 : x
  2. Step 2: Convert to fraction form
    2,810.54/3,878.32 = 1,615.72/x
  3. Step 3: Cross multiply
    2,810.54x = 3,878.32 × 1,615.72
  4. Step 4: Simplify right side
    2,810.54x = 6,266,279.19
  5. Step 5: Solve for x
    x = 6,266,279.19/2,810.54
  6. Step 6: Final answer
    x = 2,229.56

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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.