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Finding the Fourth Proportional to 2,082.69, 3,111.84 and 2,010.06

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Solution

The fourth proportional to 2,082.69, 3,111.84 and 2,010.06 is: 3,003.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.69 : 3,111.84 = 2,010.06 : x
  2. Step 2: Convert to fraction form
    2,082.69/3,111.84 = 2,010.06/x
  3. Step 3: Cross multiply
    2,082.69x = 3,111.84 × 2,010.06
  4. Step 4: Simplify right side
    2,082.69x = 6,254,985.11
  5. Step 5: Solve for x
    x = 6,254,985.11/2,082.69
  6. Step 6: Final answer
    x = 3,003.32

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