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Finding the Fourth Proportional to 3,164.71, 4,366.42 and 2,045.70

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Solution

The fourth proportional to 3,164.71, 4,366.42 and 2,045.70 is: 2,822.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.71 : 4,366.42 = 2,045.70 : x
  2. Step 2: Convert to fraction form
    3,164.71/4,366.42 = 2,045.70/x
  3. Step 3: Cross multiply
    3,164.71x = 4,366.42 × 2,045.70
  4. Step 4: Simplify right side
    3,164.71x = 8,932,385.39
  5. Step 5: Solve for x
    x = 8,932,385.39/3,164.71
  6. Step 6: Final answer
    x = 2,822.50

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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.