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Finding the Fourth Proportional to 3,200.28, 4,802.84 and 1,470.12

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Solution

The fourth proportional to 3,200.28, 4,802.84 and 1,470.12 is: 2,206.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.28 : 4,802.84 = 1,470.12 : x
  2. Step 2: Convert to fraction form
    3,200.28/4,802.84 = 1,470.12/x
  3. Step 3: Cross multiply
    3,200.28x = 4,802.84 × 1,470.12
  4. Step 4: Simplify right side
    3,200.28x = 7,060,751.14
  5. Step 5: Solve for x
    x = 7,060,751.14/3,200.28
  6. Step 6: Final answer
    x = 2,206.29

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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.