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Finding the Fourth Proportional to 2,296.84, 3,434.75 and 1,712.25

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Solution

The fourth proportional to 2,296.84, 3,434.75 and 1,712.25 is: 2,560.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.84 : 3,434.75 = 1,712.25 : x
  2. Step 2: Convert to fraction form
    2,296.84/3,434.75 = 1,712.25/x
  3. Step 3: Cross multiply
    2,296.84x = 3,434.75 × 1,712.25
  4. Step 4: Simplify right side
    2,296.84x = 5,881,150.69
  5. Step 5: Solve for x
    x = 5,881,150.69/2,296.84
  6. Step 6: Final answer
    x = 2,560.54

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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.