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Finding the Fourth Proportional to 2,392.28, 3,588.51 and 853.28

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Solution

The fourth proportional to 2,392.28, 3,588.51 and 853.28 is: 1,279.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.28 : 3,588.51 = 853.28 : x
  2. Step 2: Convert to fraction form
    2,392.28/3,588.51 = 853.28/x
  3. Step 3: Cross multiply
    2,392.28x = 3,588.51 × 853.28
  4. Step 4: Simplify right side
    2,392.28x = 3,062,003.81
  5. Step 5: Solve for x
    x = 3,062,003.81/2,392.28
  6. Step 6: Final answer
    x = 1,279.95

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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.