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Finding the Fourth Proportional to 2,703.80, 4,054.19 and 854.57

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Solution

The fourth proportional to 2,703.80, 4,054.19 and 854.57 is: 1,281.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.80 : 4,054.19 = 854.57 : x
  2. Step 2: Convert to fraction form
    2,703.80/4,054.19 = 854.57/x
  3. Step 3: Cross multiply
    2,703.80x = 4,054.19 × 854.57
  4. Step 4: Simplify right side
    2,703.80x = 3,464,595.01
  5. Step 5: Solve for x
    x = 3,464,595.01/2,703.80
  6. Step 6: Final answer
    x = 1,281.38

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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.