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Finding the Fourth Proportional to 1,672.80, 2,509.40 and 806.50

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Solution

The fourth proportional to 1,672.80, 2,509.40 and 806.50 is: 1,209.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,672.80 : 2,509.40 = 806.50 : x
  2. Step 2: Convert to fraction form
    1,672.80/2,509.40 = 806.50/x
  3. Step 3: Cross multiply
    1,672.80x = 2,509.40 × 806.50
  4. Step 4: Simplify right side
    1,672.80x = 2,023,831.10
  5. Step 5: Solve for x
    x = 2,023,831.10/1,672.80
  6. Step 6: Final answer
    x = 1,209.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.