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Finding the Fourth Proportional to 2,314.22, 3,471.32 and 670.93

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Solution

The fourth proportional to 2,314.22, 3,471.32 and 670.93 is: 1,006.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.22 : 3,471.32 = 670.93 : x
  2. Step 2: Convert to fraction form
    2,314.22/3,471.32 = 670.93/x
  3. Step 3: Cross multiply
    2,314.22x = 3,471.32 × 670.93
  4. Step 4: Simplify right side
    2,314.22x = 2,329,005.73
  5. Step 5: Solve for x
    x = 2,329,005.73/2,314.22
  6. Step 6: Final answer
    x = 1,006.39

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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.