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Finding the Fourth Proportional to 2,442.87, 3,657.96 and 2,051.97

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Solution

The fourth proportional to 2,442.87, 3,657.96 and 2,051.97 is: 3,072.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.87 : 3,657.96 = 2,051.97 : x
  2. Step 2: Convert to fraction form
    2,442.87/3,657.96 = 2,051.97/x
  3. Step 3: Cross multiply
    2,442.87x = 3,657.96 × 2,051.97
  4. Step 4: Simplify right side
    2,442.87x = 7,506,024.18
  5. Step 5: Solve for x
    x = 7,506,024.18/2,442.87
  6. Step 6: Final answer
    x = 3,072.63

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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.