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Finding the Fourth Proportional to 2,889.12, 3,987 and 1,562.84

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Solution

The fourth proportional to 2,889.12, 3,987 and 1,562.84 is: 2,156.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,889.12 : 3,987 = 1,562.84 : x
  2. Step 2: Convert to fraction form
    2,889.12/3,987 = 1,562.84/x
  3. Step 3: Cross multiply
    2,889.12x = 3,987 × 1,562.84
  4. Step 4: Simplify right side
    2,889.12x = 6,231,038.10
  5. Step 5: Solve for x
    x = 6,231,038.10/2,889.12
  6. Step 6: Final answer
    x = 2,156.72

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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.