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Finding the Fourth Proportional to 2,514.88, 3,771.42 and 870.99

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Solution

The fourth proportional to 2,514.88, 3,771.42 and 870.99 is: 1,306.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,514.88 : 3,771.42 = 870.99 : x
  2. Step 2: Convert to fraction form
    2,514.88/3,771.42 = 870.99/x
  3. Step 3: Cross multiply
    2,514.88x = 3,771.42 × 870.99
  4. Step 4: Simplify right side
    2,514.88x = 3,284,869.11
  5. Step 5: Solve for x
    x = 3,284,869.11/2,514.88
  6. Step 6: Final answer
    x = 1,306.17

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1.5x scale

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.