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Finding the Fourth Proportional to 1,849.75, 2,552.66 and 1,064.05

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Solution

The fourth proportional to 1,849.75, 2,552.66 and 1,064.05 is: 1,468.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849.75 : 2,552.66 = 1,064.05 : x
  2. Step 2: Convert to fraction form
    1,849.75/2,552.66 = 1,064.05/x
  3. Step 3: Cross multiply
    1,849.75x = 2,552.66 × 1,064.05
  4. Step 4: Simplify right side
    1,849.75x = 2,716,157.87
  5. Step 5: Solve for x
    x = 2,716,157.87/1,849.75
  6. Step 6: Final answer
    x = 1,468.39

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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.