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Finding the Fourth Proportional to 1,894.53, 2,614.83 and 1,097.99

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Solution

The fourth proportional to 1,894.53, 2,614.83 and 1,097.99 is: 1,515.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894.53 : 2,614.83 = 1,097.99 : x
  2. Step 2: Convert to fraction form
    1,894.53/2,614.83 = 1,097.99/x
  3. Step 3: Cross multiply
    1,894.53x = 2,614.83 × 1,097.99
  4. Step 4: Simplify right side
    1,894.53x = 2,871,044.12
  5. Step 5: Solve for x
    x = 2,871,044.12/1,894.53
  6. Step 6: Final answer
    x = 1,515.44

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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.