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Finding the Fourth Proportional to 2,657.82, 3,988.55 and 926.45

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Solution

The fourth proportional to 2,657.82, 3,988.55 and 926.45 is: 1,390.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.82 : 3,988.55 = 926.45 : x
  2. Step 2: Convert to fraction form
    2,657.82/3,988.55 = 926.45/x
  3. Step 3: Cross multiply
    2,657.82x = 3,988.55 × 926.45
  4. Step 4: Simplify right side
    2,657.82x = 3,695,192.15
  5. Step 5: Solve for x
    x = 3,695,192.15/2,657.82
  6. Step 6: Final answer
    x = 1,390.31

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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.