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Finding the Fourth Proportional to 2,756.36, 4,134.18 and 1,217

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Solution

The fourth proportional to 2,756.36, 4,134.18 and 1,217 is: 1,825.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.36 : 4,134.18 = 1,217 : x
  2. Step 2: Convert to fraction form
    2,756.36/4,134.18 = 1,217/x
  3. Step 3: Cross multiply
    2,756.36x = 4,134.18 × 1,217
  4. Step 4: Simplify right side
    2,756.36x = 5,031,297.06
  5. Step 5: Solve for x
    x = 5,031,297.06/2,756.36
  6. Step 6: Final answer
    x = 1,825.34

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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.