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Finding the Fourth Proportional to 1,893.81, 2,613.59 and 1,097.38

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Solution

The fourth proportional to 1,893.81, 2,613.59 and 1,097.38 is: 1,514.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,893.81 : 2,613.59 = 1,097.38 : x
  2. Step 2: Convert to fraction form
    1,893.81/2,613.59 = 1,097.38/x
  3. Step 3: Cross multiply
    1,893.81x = 2,613.59 × 1,097.38
  4. Step 4: Simplify right side
    1,893.81x = 2,868,101.39
  5. Step 5: Solve for x
    x = 2,868,101.39/1,893.81
  6. Step 6: Final answer
    x = 1,514.46

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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.