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Finding the Fourth Proportional to 2,849.86, 3,932.55 and 1,590.81

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Solution

The fourth proportional to 2,849.86, 3,932.55 and 1,590.81 is: 2,195.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,849.86 : 3,932.55 = 1,590.81 : x
  2. Step 2: Convert to fraction form
    2,849.86/3,932.55 = 1,590.81/x
  3. Step 3: Cross multiply
    2,849.86x = 3,932.55 × 1,590.81
  4. Step 4: Simplify right side
    2,849.86x = 6,255,939.87
  5. Step 5: Solve for x
    x = 6,255,939.87/2,849.86
  6. Step 6: Final answer
    x = 2,195.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.