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Finding the Fourth Proportional to 2,602.71, 3,883.71 and 2,326.50

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Solution

The fourth proportional to 2,602.71, 3,883.71 and 2,326.50 is: 3,471.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.71 : 3,883.71 = 2,326.50 : x
  2. Step 2: Convert to fraction form
    2,602.71/3,883.71 = 2,326.50/x
  3. Step 3: Cross multiply
    2,602.71x = 3,883.71 × 2,326.50
  4. Step 4: Simplify right side
    2,602.71x = 9,035,451.32
  5. Step 5: Solve for x
    x = 9,035,451.32/2,602.71
  6. Step 6: Final answer
    x = 3,471.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.