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Finding the Fourth Proportional to 2,371.31, 3,557.57 and 910.57

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Solution

The fourth proportional to 2,371.31, 3,557.57 and 910.57 is: 1,366.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,371.31 : 3,557.57 = 910.57 : x
  2. Step 2: Convert to fraction form
    2,371.31/3,557.57 = 910.57/x
  3. Step 3: Cross multiply
    2,371.31x = 3,557.57 × 910.57
  4. Step 4: Simplify right side
    2,371.31x = 3,239,416.51
  5. Step 5: Solve for x
    x = 3,239,416.51/2,371.31
  6. Step 6: Final answer
    x = 1,366.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.