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Finding the Fourth Proportional to 2,111.59, 3,167.14 and 812.15

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Solution

The fourth proportional to 2,111.59, 3,167.14 and 812.15 is: 1,218.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.59 : 3,167.14 = 812.15 : x
  2. Step 2: Convert to fraction form
    2,111.59/3,167.14 = 812.15/x
  3. Step 3: Cross multiply
    2,111.59x = 3,167.14 × 812.15
  4. Step 4: Simplify right side
    2,111.59x = 2,572,192.75
  5. Step 5: Solve for x
    x = 2,572,192.75/2,111.59
  6. Step 6: Final answer
    x = 1,218.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.