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Finding the Fourth Proportional to 2,087.16, 3,128.45 and 853.09

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Solution

The fourth proportional to 2,087.16, 3,128.45 and 853.09 is: 1,278.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.16 : 3,128.45 = 853.09 : x
  2. Step 2: Convert to fraction form
    2,087.16/3,128.45 = 853.09/x
  3. Step 3: Cross multiply
    2,087.16x = 3,128.45 × 853.09
  4. Step 4: Simplify right side
    2,087.16x = 2,668,849.41
  5. Step 5: Solve for x
    x = 2,668,849.41/2,087.16
  6. Step 6: Final answer
    x = 1,278.70

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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.