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Finding the Fourth Proportional to 2,657.54, 3,670.85 and 2,024.21

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Solution

The fourth proportional to 2,657.54, 3,670.85 and 2,024.21 is: 2,796.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.54 : 3,670.85 = 2,024.21 : x
  2. Step 2: Convert to fraction form
    2,657.54/3,670.85 = 2,024.21/x
  3. Step 3: Cross multiply
    2,657.54x = 3,670.85 × 2,024.21
  4. Step 4: Simplify right side
    2,657.54x = 7,430,561.16
  5. Step 5: Solve for x
    x = 7,430,561.16/2,657.54
  6. Step 6: Final answer
    x = 2,796.03

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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.