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Finding the Fourth Proportional to 2,316.19, 3,471.30 and 853.61

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Solution

The fourth proportional to 2,316.19, 3,471.30 and 853.61 is: 1,279.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.19 : 3,471.30 = 853.61 : x
  2. Step 2: Convert to fraction form
    2,316.19/3,471.30 = 853.61/x
  3. Step 3: Cross multiply
    2,316.19x = 3,471.30 × 853.61
  4. Step 4: Simplify right side
    2,316.19x = 2,963,136.39
  5. Step 5: Solve for x
    x = 2,963,136.39/2,316.19
  6. Step 6: Final answer
    x = 1,279.31

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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.