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Finding the Fourth Proportional to 1,351.37, 1,864.77 and 853.83

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Solution

The fourth proportional to 1,351.37, 1,864.77 and 853.83 is: 1,178.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.37 : 1,864.77 = 853.83 : x
  2. Step 2: Convert to fraction form
    1,351.37/1,864.77 = 853.83/x
  3. Step 3: Cross multiply
    1,351.37x = 1,864.77 × 853.83
  4. Step 4: Simplify right side
    1,351.37x = 1,592,196.57
  5. Step 5: Solve for x
    x = 1,592,196.57/1,351.37
  6. Step 6: Final answer
    x = 1,178.21

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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.