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Finding the Fourth Proportional to 2,827.13, 3,900.98 and 1,567.99

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Solution

The fourth proportional to 2,827.13, 3,900.98 and 1,567.99 is: 2,163.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.13 : 3,900.98 = 1,567.99 : x
  2. Step 2: Convert to fraction form
    2,827.13/3,900.98 = 1,567.99/x
  3. Step 3: Cross multiply
    2,827.13x = 3,900.98 × 1,567.99
  4. Step 4: Simplify right side
    2,827.13x = 6,116,686.63
  5. Step 5: Solve for x
    x = 6,116,686.63/2,827.13
  6. Step 6: Final answer
    x = 2,163.56

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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.