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Finding the Fourth Proportional to 2,854.42, 4,281.90 and 774.44

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Solution

The fourth proportional to 2,854.42, 4,281.90 and 774.44 is: 1,161.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.42 : 4,281.90 = 774.44 : x
  2. Step 2: Convert to fraction form
    2,854.42/4,281.90 = 774.44/x
  3. Step 3: Cross multiply
    2,854.42x = 4,281.90 × 774.44
  4. Step 4: Simplify right side
    2,854.42x = 3,316,074.64
  5. Step 5: Solve for x
    x = 3,316,074.64/2,854.42
  6. Step 6: Final answer
    x = 1,161.73

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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.