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Finding the Fourth Proportional to 3,314.07, 4,969.22 and 1,364.00

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Solution

The fourth proportional to 3,314.07, 4,969.22 and 1,364.00 is: 2,045.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,314.07 : 4,969.22 = 1,364.00 : x
  2. Step 2: Convert to fraction form
    3,314.07/4,969.22 = 1,364.00/x
  3. Step 3: Cross multiply
    3,314.07x = 4,969.22 × 1,364.00
  4. Step 4: Simplify right side
    3,314.07x = 6,777,984.41
  5. Step 5: Solve for x
    x = 6,777,984.41/3,314.07
  6. Step 6: Final answer
    x = 2,045.21

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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.