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Finding the Fourth Proportional to 1,319.11, 1,820.23 and 853.36

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Solution

The fourth proportional to 1,319.11, 1,820.23 and 853.36 is: 1,177.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.11 : 1,820.23 = 853.36 : x
  2. Step 2: Convert to fraction form
    1,319.11/1,820.23 = 853.36/x
  3. Step 3: Cross multiply
    1,319.11x = 1,820.23 × 853.36
  4. Step 4: Simplify right side
    1,319.11x = 1,553,304.79
  5. Step 5: Solve for x
    x = 1,553,304.79/1,319.11
  6. Step 6: Final answer
    x = 1,177.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.