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Finding the Fourth Proportional to 2,903.50, 4,007.10 and 1,661.50

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Solution

The fourth proportional to 2,903.50, 4,007.10 and 1,661.50 is: 2,293.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.50 : 4,007.10 = 1,661.50 : x
  2. Step 2: Convert to fraction form
    2,903.50/4,007.10 = 1,661.50/x
  3. Step 3: Cross multiply
    2,903.50x = 4,007.10 × 1,661.50
  4. Step 4: Simplify right side
    2,903.50x = 6,657,796.65
  5. Step 5: Solve for x
    x = 6,657,796.65/2,903.50
  6. Step 6: Final answer
    x = 2,293.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.