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Finding the Fourth Proportional to 2,447.91, 3,376.71 and 1,783.98

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Solution

The fourth proportional to 2,447.91, 3,376.71 and 1,783.98 is: 2,460.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.91 : 3,376.71 = 1,783.98 : x
  2. Step 2: Convert to fraction form
    2,447.91/3,376.71 = 1,783.98/x
  3. Step 3: Cross multiply
    2,447.91x = 3,376.71 × 1,783.98
  4. Step 4: Simplify right side
    2,447.91x = 6,023,983.11
  5. Step 5: Solve for x
    x = 6,023,983.11/2,447.91
  6. Step 6: Final answer
    x = 2,460.87

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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.