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Finding the Fourth Proportional to 2,313.17, 3,471.14 and 853.34

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Solution

The fourth proportional to 2,313.17, 3,471.14 and 853.34 is: 1,280.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.17 : 3,471.14 = 853.34 : x
  2. Step 2: Convert to fraction form
    2,313.17/3,471.14 = 853.34/x
  3. Step 3: Cross multiply
    2,313.17x = 3,471.14 × 853.34
  4. Step 4: Simplify right side
    2,313.17x = 2,962,062.61
  5. Step 5: Solve for x
    x = 2,962,062.61/2,313.17
  6. Step 6: Final answer
    x = 1,280.52

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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.