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Finding the Fourth Proportional to 2,665.44, 3,670.62 and 2,657.34

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Solution

The fourth proportional to 2,665.44, 3,670.62 and 2,657.34 is: 3,659.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.44 : 3,670.62 = 2,657.34 : x
  2. Step 2: Convert to fraction form
    2,665.44/3,670.62 = 2,657.34/x
  3. Step 3: Cross multiply
    2,665.44x = 3,670.62 × 2,657.34
  4. Step 4: Simplify right side
    2,665.44x = 9,754,085.35
  5. Step 5: Solve for x
    x = 9,754,085.35/2,665.44
  6. Step 6: Final answer
    x = 3,659.47

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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.