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Finding the Fourth Proportional to 2,657.77, 3,667.54 and 1,663

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Solution

The fourth proportional to 2,657.77, 3,667.54 and 1,663 is: 2,294.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.77 : 3,667.54 = 1,663 : x
  2. Step 2: Convert to fraction form
    2,657.77/3,667.54 = 1,663/x
  3. Step 3: Cross multiply
    2,657.77x = 3,667.54 × 1,663
  4. Step 4: Simplify right side
    2,657.77x = 6,099,119.02
  5. Step 5: Solve for x
    x = 6,099,119.02/2,657.77
  6. Step 6: Final answer
    x = 2,294.83

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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.