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Finding the Fourth Proportional to 1,894.51, 2,614.98 and 1,196.29

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Solution

The fourth proportional to 1,894.51, 2,614.98 and 1,196.29 is: 1,651.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894.51 : 2,614.98 = 1,196.29 : x
  2. Step 2: Convert to fraction form
    1,894.51/2,614.98 = 1,196.29/x
  3. Step 3: Cross multiply
    1,894.51x = 2,614.98 × 1,196.29
  4. Step 4: Simplify right side
    1,894.51x = 3,128,274.42
  5. Step 5: Solve for x
    x = 3,128,274.42/1,894.51
  6. Step 6: Final answer
    x = 1,651.23

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