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Finding the Fourth Proportional to 3,262.90, 4,894.38 and 1,314.64

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Solution

The fourth proportional to 3,262.90, 4,894.38 and 1,314.64 is: 1,971.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,262.90 : 4,894.38 = 1,314.64 : x
  2. Step 2: Convert to fraction form
    3,262.90/4,894.38 = 1,314.64/x
  3. Step 3: Cross multiply
    3,262.90x = 4,894.38 × 1,314.64
  4. Step 4: Simplify right side
    3,262.90x = 6,434,347.72
  5. Step 5: Solve for x
    x = 6,434,347.72/3,262.90
  6. Step 6: Final answer
    x = 1,971.97

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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.