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Finding the Fourth Proportional to 2,111.51, 3,165.43 and 812.13

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Solution

The fourth proportional to 2,111.51, 3,165.43 and 812.13 is: 1,217.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.51 : 3,165.43 = 812.13 : x
  2. Step 2: Convert to fraction form
    2,111.51/3,165.43 = 812.13/x
  3. Step 3: Cross multiply
    2,111.51x = 3,165.43 × 812.13
  4. Step 4: Simplify right side
    2,111.51x = 2,570,740.67
  5. Step 5: Solve for x
    x = 2,570,740.67/2,111.51
  6. Step 6: Final answer
    x = 1,217.49

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Why These Related Problems?

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