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Finding the Fourth Proportional to 2,665.31, 3,675.74 and 1,670.70

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Solution

The fourth proportional to 2,665.31, 3,675.74 and 1,670.70 is: 2,304.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.31 : 3,675.74 = 1,670.70 : x
  2. Step 2: Convert to fraction form
    2,665.31/3,675.74 = 1,670.70/x
  3. Step 3: Cross multiply
    2,665.31x = 3,675.74 × 1,670.70
  4. Step 4: Simplify right side
    2,665.31x = 6,141,058.82
  5. Step 5: Solve for x
    x = 6,141,058.82/2,665.31
  6. Step 6: Final answer
    x = 2,304.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.