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Finding the Fourth Proportional to 3,314.91, 4,574.63 and 1,822.86

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Solution

The fourth proportional to 3,314.91, 4,574.63 and 1,822.86 is: 2,515.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,314.91 : 4,574.63 = 1,822.86 : x
  2. Step 2: Convert to fraction form
    3,314.91/4,574.63 = 1,822.86/x
  3. Step 3: Cross multiply
    3,314.91x = 4,574.63 × 1,822.86
  4. Step 4: Simplify right side
    3,314.91x = 8,338,900.93
  5. Step 5: Solve for x
    x = 8,338,900.93/3,314.91
  6. Step 6: Final answer
    x = 2,515.57

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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.