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Finding the Fourth Proportional to 2,296.77, 3,434.64 and 1,712.17

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Solution

The fourth proportional to 2,296.77, 3,434.64 and 1,712.17 is: 2,560.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.77 : 3,434.64 = 1,712.17 : x
  2. Step 2: Convert to fraction form
    2,296.77/3,434.64 = 1,712.17/x
  3. Step 3: Cross multiply
    2,296.77x = 3,434.64 × 1,712.17
  4. Step 4: Simplify right side
    2,296.77x = 5,880,687.57
  5. Step 5: Solve for x
    x = 5,880,687.57/2,296.77
  6. Step 6: Final answer
    x = 2,560.42

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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.