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Finding the Fourth Proportional to 2,290.77, 3,161.84 and 1,406.79

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Solution

The fourth proportional to 2,290.77, 3,161.84 and 1,406.79 is: 1,941.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.77 : 3,161.84 = 1,406.79 : x
  2. Step 2: Convert to fraction form
    2,290.77/3,161.84 = 1,406.79/x
  3. Step 3: Cross multiply
    2,290.77x = 3,161.84 × 1,406.79
  4. Step 4: Simplify right side
    2,290.77x = 4,448,037.86
  5. Step 5: Solve for x
    x = 4,448,037.86/2,290.77
  6. Step 6: Final answer
    x = 1,941.72

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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.