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Finding the Fourth Proportional to 2,903.57, 4,007.46 and 1,661.57

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Solution

The fourth proportional to 2,903.57, 4,007.46 and 1,661.57 is: 2,293.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.57 : 4,007.46 = 1,661.57 : x
  2. Step 2: Convert to fraction form
    2,903.57/4,007.46 = 1,661.57/x
  3. Step 3: Cross multiply
    2,903.57x = 4,007.46 × 1,661.57
  4. Step 4: Simplify right side
    2,903.57x = 6,658,646.97
  5. Step 5: Solve for x
    x = 6,658,646.97/2,903.57
  6. Step 6: Final answer
    x = 2,293.27

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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.