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Finding the Fourth Proportional to 2,662.47, 3,989.66 and 2,140.02

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Solution

The fourth proportional to 2,662.47, 3,989.66 and 2,140.02 is: 3,206.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.47 : 3,989.66 = 2,140.02 : x
  2. Step 2: Convert to fraction form
    2,662.47/3,989.66 = 2,140.02/x
  3. Step 3: Cross multiply
    2,662.47x = 3,989.66 × 2,140.02
  4. Step 4: Simplify right side
    2,662.47x = 8,537,941.49
  5. Step 5: Solve for x
    x = 8,537,941.49/2,662.47
  6. Step 6: Final answer
    x = 3,206.77

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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.