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Finding the Fourth Proportional to 2,077.51, 3,115.96 and 690.82

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Solution

The fourth proportional to 2,077.51, 3,115.96 and 690.82 is: 1,036.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.51 : 3,115.96 = 690.82 : x
  2. Step 2: Convert to fraction form
    2,077.51/3,115.96 = 690.82/x
  3. Step 3: Cross multiply
    2,077.51x = 3,115.96 × 690.82
  4. Step 4: Simplify right side
    2,077.51x = 2,152,548.45
  5. Step 5: Solve for x
    x = 2,152,548.45/2,077.51
  6. Step 6: Final answer
    x = 1,036.12

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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.