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Finding the Fourth Proportional to 4,601.32, 6,900.82 and 1,314.43

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Solution

The fourth proportional to 4,601.32, 6,900.82 and 1,314.43 is: 1,971.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,601.32 : 6,900.82 = 1,314.43 : x
  2. Step 2: Convert to fraction form
    4,601.32/6,900.82 = 1,314.43/x
  3. Step 3: Cross multiply
    4,601.32x = 6,900.82 × 1,314.43
  4. Step 4: Simplify right side
    4,601.32x = 9,070,624.29
  5. Step 5: Solve for x
    x = 9,070,624.29/4,601.32
  6. Step 6: Final answer
    x = 1,971.31

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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.