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Finding the Fourth Proportional to 2,392.12, 3,588.66 and 853.08

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Solution

The fourth proportional to 2,392.12, 3,588.66 and 853.08 is: 1,279.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.12 : 3,588.66 = 853.08 : x
  2. Step 2: Convert to fraction form
    2,392.12/3,588.66 = 853.08/x
  3. Step 3: Cross multiply
    2,392.12x = 3,588.66 × 853.08
  4. Step 4: Simplify right side
    2,392.12x = 3,061,414.07
  5. Step 5: Solve for x
    x = 3,061,414.07/2,392.12
  6. Step 6: Final answer
    x = 1,279.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.