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Finding the Fourth Proportional to 2,470.20, 3,695.70 and 1,606.20

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Solution

The fourth proportional to 2,470.20, 3,695.70 and 1,606.20 is: 2,403.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.20 : 3,695.70 = 1,606.20 : x
  2. Step 2: Convert to fraction form
    2,470.20/3,695.70 = 1,606.20/x
  3. Step 3: Cross multiply
    2,470.20x = 3,695.70 × 1,606.20
  4. Step 4: Simplify right side
    2,470.20x = 5,936,033.34
  5. Step 5: Solve for x
    x = 5,936,033.34/2,470.20
  6. Step 6: Final answer
    x = 2,403.06

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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.