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Finding the Fourth Proportional to 2,077.09, 3,116.10 and 690.31

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Solution

The fourth proportional to 2,077.09, 3,116.10 and 690.31 is: 1,035.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.09 : 3,116.10 = 690.31 : x
  2. Step 2: Convert to fraction form
    2,077.09/3,116.10 = 690.31/x
  3. Step 3: Cross multiply
    2,077.09x = 3,116.10 × 690.31
  4. Step 4: Simplify right side
    2,077.09x = 2,151,081.47
  5. Step 5: Solve for x
    x = 2,151,081.47/2,077.09
  6. Step 6: Final answer
    x = 1,035.62

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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.