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Finding the Fourth Proportional to 1,812.39, 2,502.14 and 1,193.19

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Solution

The fourth proportional to 1,812.39, 2,502.14 and 1,193.19 is: 1,647.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,812.39 : 2,502.14 = 1,193.19 : x
  2. Step 2: Convert to fraction form
    1,812.39/2,502.14 = 1,193.19/x
  3. Step 3: Cross multiply
    1,812.39x = 2,502.14 × 1,193.19
  4. Step 4: Simplify right side
    1,812.39x = 2,985,522.46
  5. Step 5: Solve for x
    x = 2,985,522.46/1,812.39
  6. Step 6: Final answer
    x = 1,647.28

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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.