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Finding the Fourth Proportional to 2,889.96, 3,987.18 and 1,827.72

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Solution

The fourth proportional to 2,889.96, 3,987.18 and 1,827.72 is: 2,521.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,889.96 : 3,987.18 = 1,827.72 : x
  2. Step 2: Convert to fraction form
    2,889.96/3,987.18 = 1,827.72/x
  3. Step 3: Cross multiply
    2,889.96x = 3,987.18 × 1,827.72
  4. Step 4: Simplify right side
    2,889.96x = 7,287,448.63
  5. Step 5: Solve for x
    x = 7,287,448.63/2,889.96
  6. Step 6: Final answer
    x = 2,521.64

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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.