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Finding the Fourth Proportional to 1,672.68, 2,496.75 and 1,552.56

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Solution

The fourth proportional to 1,672.68, 2,496.75 and 1,552.56 is: 2,317.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,672.68 : 2,496.75 = 1,552.56 : x
  2. Step 2: Convert to fraction form
    1,672.68/2,496.75 = 1,552.56/x
  3. Step 3: Cross multiply
    1,672.68x = 2,496.75 × 1,552.56
  4. Step 4: Simplify right side
    1,672.68x = 3,876,354.18
  5. Step 5: Solve for x
    x = 3,876,354.18/1,672.68
  6. Step 6: Final answer
    x = 2,317.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.