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Finding the Fourth Proportional to 2,471.77, 3,704.25 and 910.25

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Solution

The fourth proportional to 2,471.77, 3,704.25 and 910.25 is: 1,364.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.77 : 3,704.25 = 910.25 : x
  2. Step 2: Convert to fraction form
    2,471.77/3,704.25 = 910.25/x
  3. Step 3: Cross multiply
    2,471.77x = 3,704.25 × 910.25
  4. Step 4: Simplify right side
    2,471.77x = 3,371,808.06
  5. Step 5: Solve for x
    x = 3,371,808.06/2,471.77
  6. Step 6: Final answer
    x = 1,364.13

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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.