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Finding the Fourth Proportional to 2,671.80, 4,007.70 and 2,477.40

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Solution

The fourth proportional to 2,671.80, 4,007.70 and 2,477.40 is: 3,716.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.80 : 4,007.70 = 2,477.40 : x
  2. Step 2: Convert to fraction form
    2,671.80/4,007.70 = 2,477.40/x
  3. Step 3: Cross multiply
    2,671.80x = 4,007.70 × 2,477.40
  4. Step 4: Simplify right side
    2,671.80x = 9,928,675.98
  5. Step 5: Solve for x
    x = 9,928,675.98/2,671.80
  6. Step 6: Final answer
    x = 3,716.10

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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.