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Finding the Fourth Proportional to 2,681, 3,695.72 and 2,305.98

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Solution

The fourth proportional to 2,681, 3,695.72 and 2,305.98 is: 3,178.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681 : 3,695.72 = 2,305.98 : x
  2. Step 2: Convert to fraction form
    2,681/3,695.72 = 2,305.98/x
  3. Step 3: Cross multiply
    2,681x = 3,695.72 × 2,305.98
  4. Step 4: Simplify right side
    2,681x = 8,522,256.41
  5. Step 5: Solve for x
    x = 8,522,256.41/2,681
  6. Step 6: Final answer
    x = 3,178.76

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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.