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Finding the Fourth Proportional to 2,888.72, 3,985.32 and 2,004.08

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Solution

The fourth proportional to 2,888.72, 3,985.32 and 2,004.08 is: 2,764.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,888.72 : 3,985.32 = 2,004.08 : x
  2. Step 2: Convert to fraction form
    2,888.72/3,985.32 = 2,004.08/x
  3. Step 3: Cross multiply
    2,888.72x = 3,985.32 × 2,004.08
  4. Step 4: Simplify right side
    2,888.72x = 7,986,900.11
  5. Step 5: Solve for x
    x = 7,986,900.11/2,888.72
  6. Step 6: Final answer
    x = 2,764.86

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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.