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Finding the Fourth Proportional to 2,486.70, 3,433.32 and 1,542.87

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Solution

The fourth proportional to 2,486.70, 3,433.32 and 1,542.87 is: 2,130.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.70 : 3,433.32 = 1,542.87 : x
  2. Step 2: Convert to fraction form
    2,486.70/3,433.32 = 1,542.87/x
  3. Step 3: Cross multiply
    2,486.70x = 3,433.32 × 1,542.87
  4. Step 4: Simplify right side
    2,486.70x = 5,297,172.21
  5. Step 5: Solve for x
    x = 5,297,172.21/2,486.70
  6. Step 6: Final answer
    x = 2,130.20

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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.