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Finding the Fourth Proportional to 3,261.52, 4,893.63 and 1,314.01

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Solution

The fourth proportional to 3,261.52, 4,893.63 and 1,314.01 is: 1,971.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,261.52 : 4,893.63 = 1,314.01 : x
  2. Step 2: Convert to fraction form
    3,261.52/4,893.63 = 1,314.01/x
  3. Step 3: Cross multiply
    3,261.52x = 4,893.63 × 1,314.01
  4. Step 4: Simplify right side
    3,261.52x = 6,430,278.76
  5. Step 5: Solve for x
    x = 6,430,278.76/3,261.52
  6. Step 6: Final answer
    x = 1,971.56

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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.