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Finding the Fourth Proportional to 3,006.57, 4,148.71 and 1,662.10

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Solution

The fourth proportional to 3,006.57, 4,148.71 and 1,662.10 is: 2,293.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.57 : 4,148.71 = 1,662.10 : x
  2. Step 2: Convert to fraction form
    3,006.57/4,148.71 = 1,662.10/x
  3. Step 3: Cross multiply
    3,006.57x = 4,148.71 × 1,662.10
  4. Step 4: Simplify right side
    3,006.57x = 6,895,570.89
  5. Step 5: Solve for x
    x = 6,895,570.89/3,006.57
  6. Step 6: Final answer
    x = 2,293.50

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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.