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Finding the Fourth Proportional to 1,514.42, 2,268.05 and 854.67

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Solution

The fourth proportional to 1,514.42, 2,268.05 and 854.67 is: 1,279.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.42 : 2,268.05 = 854.67 : x
  2. Step 2: Convert to fraction form
    1,514.42/2,268.05 = 854.67/x
  3. Step 3: Cross multiply
    1,514.42x = 2,268.05 × 854.67
  4. Step 4: Simplify right side
    1,514.42x = 1,938,434.29
  5. Step 5: Solve for x
    x = 1,938,434.29/1,514.42
  6. Step 6: Final answer
    x = 1,279.98

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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.