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Finding the Fourth Proportional to 2,565.93, 3,849.18 and 810.98

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Solution

The fourth proportional to 2,565.93, 3,849.18 and 810.98 is: 1,216.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.93 : 3,849.18 = 810.98 : x
  2. Step 2: Convert to fraction form
    2,565.93/3,849.18 = 810.98/x
  3. Step 3: Cross multiply
    2,565.93x = 3,849.18 × 810.98
  4. Step 4: Simplify right side
    2,565.93x = 3,121,603.94
  5. Step 5: Solve for x
    x = 3,121,603.94/2,565.93
  6. Step 6: Final answer
    x = 1,216.56

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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.