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Finding the Fourth Proportional to 2,970.95, 4,439.42 and 2,264.27

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Solution

The fourth proportional to 2,970.95, 4,439.42 and 2,264.27 is: 3,383.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.95 : 4,439.42 = 2,264.27 : x
  2. Step 2: Convert to fraction form
    2,970.95/4,439.42 = 2,264.27/x
  3. Step 3: Cross multiply
    2,970.95x = 4,439.42 × 2,264.27
  4. Step 4: Simplify right side
    2,970.95x = 10,052,012.00
  5. Step 5: Solve for x
    x = 10,052,012.00/2,970.95
  6. Step 6: Final answer
    x = 3,383.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.