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Finding the Fourth Proportional to 1,893.75, 2,613.68 and 1,096.93

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Solution

The fourth proportional to 1,893.75, 2,613.68 and 1,096.93 is: 1,513.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,893.75 : 2,613.68 = 1,096.93 : x
  2. Step 2: Convert to fraction form
    1,893.75/2,613.68 = 1,096.93/x
  3. Step 3: Cross multiply
    1,893.75x = 2,613.68 × 1,096.93
  4. Step 4: Simplify right side
    1,893.75x = 2,867,039.42
  5. Step 5: Solve for x
    x = 2,867,039.42/1,893.75
  6. Step 6: Final answer
    x = 1,513.95

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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.