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Finding the Fourth Proportional to 3,180.82, 4,389.26 and 1,854.65

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Solution

The fourth proportional to 3,180.82, 4,389.26 and 1,854.65 is: 2,559.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,180.82 : 4,389.26 = 1,854.65 : x
  2. Step 2: Convert to fraction form
    3,180.82/4,389.26 = 1,854.65/x
  3. Step 3: Cross multiply
    3,180.82x = 4,389.26 × 1,854.65
  4. Step 4: Simplify right side
    3,180.82x = 8,140,509.84
  5. Step 5: Solve for x
    x = 8,140,509.84/3,180.82
  6. Step 6: Final answer
    x = 2,559.25

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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.