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Finding the Fourth Proportional to 1,967.78, 2,715.59 and 1,083.64

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Solution

The fourth proportional to 1,967.78, 2,715.59 and 1,083.64 is: 1,495.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.78 : 2,715.59 = 1,083.64 : x
  2. Step 2: Convert to fraction form
    1,967.78/2,715.59 = 1,083.64/x
  3. Step 3: Cross multiply
    1,967.78x = 2,715.59 × 1,083.64
  4. Step 4: Simplify right side
    1,967.78x = 2,942,716.53
  5. Step 5: Solve for x
    x = 2,942,716.53/1,967.78
  6. Step 6: Final answer
    x = 1,495.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.