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Finding the Fourth Proportional to 2,240.21, 3,360.35 and 854.19

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Solution

The fourth proportional to 2,240.21, 3,360.35 and 854.19 is: 1,281.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,240.21 : 3,360.35 = 854.19 : x
  2. Step 2: Convert to fraction form
    2,240.21/3,360.35 = 854.19/x
  3. Step 3: Cross multiply
    2,240.21x = 3,360.35 × 854.19
  4. Step 4: Simplify right side
    2,240.21x = 2,870,379.50
  5. Step 5: Solve for x
    x = 2,870,379.50/2,240.21
  6. Step 6: Final answer
    x = 1,281.30

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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.