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Finding the Fourth Proportional to 1,402.11, 2,101.32 and 853.56

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Solution

The fourth proportional to 1,402.11, 2,101.32 and 853.56 is: 1,279.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.11 : 2,101.32 = 853.56 : x
  2. Step 2: Convert to fraction form
    1,402.11/2,101.32 = 853.56/x
  3. Step 3: Cross multiply
    1,402.11x = 2,101.32 × 853.56
  4. Step 4: Simplify right side
    1,402.11x = 1,793,602.70
  5. Step 5: Solve for x
    x = 1,793,602.70/1,402.11
  6. Step 6: Final answer
    x = 1,279.22

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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.