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Finding the Fourth Proportional to 3,076.31, 4,616.06 and 1,690.74

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Solution

The fourth proportional to 3,076.31, 4,616.06 and 1,690.74 is: 2,536.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.31 : 4,616.06 = 1,690.74 : x
  2. Step 2: Convert to fraction form
    3,076.31/4,616.06 = 1,690.74/x
  3. Step 3: Cross multiply
    3,076.31x = 4,616.06 × 1,690.74
  4. Step 4: Simplify right side
    3,076.31x = 7,804,548.83
  5. Step 5: Solve for x
    x = 7,804,548.83/3,076.31
  6. Step 6: Final answer
    x = 2,536.98

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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.