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Finding the Fourth Proportional to 2,066.96, 3,083.52 and 2,010.47

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Solution

The fourth proportional to 2,066.96, 3,083.52 and 2,010.47 is: 2,999.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.96 : 3,083.52 = 2,010.47 : x
  2. Step 2: Convert to fraction form
    2,066.96/3,083.52 = 2,010.47/x
  3. Step 3: Cross multiply
    2,066.96x = 3,083.52 × 2,010.47
  4. Step 4: Simplify right side
    2,066.96x = 6,199,309.04
  5. Step 5: Solve for x
    x = 6,199,309.04/2,066.96
  6. Step 6: Final answer
    x = 2,999.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.