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Finding the Fourth Proportional to 1,672.97, 2,509.47 and 440.38

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Solution

The fourth proportional to 1,672.97, 2,509.47 and 440.38 is: 660.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,672.97 : 2,509.47 = 440.38 : x
  2. Step 2: Convert to fraction form
    1,672.97/2,509.47 = 440.38/x
  3. Step 3: Cross multiply
    1,672.97x = 2,509.47 × 440.38
  4. Step 4: Simplify right side
    1,672.97x = 1,105,120.40
  5. Step 5: Solve for x
    x = 1,105,120.40/1,672.97
  6. Step 6: Final answer
    x = 660.57

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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.