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Finding the Fourth Proportional to 1,632.20, 2,445.06 and 807.96

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Solution

The fourth proportional to 1,632.20, 2,445.06 and 807.96 is: 1,210.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.20 : 2,445.06 = 807.96 : x
  2. Step 2: Convert to fraction form
    1,632.20/2,445.06 = 807.96/x
  3. Step 3: Cross multiply
    1,632.20x = 2,445.06 × 807.96
  4. Step 4: Simplify right side
    1,632.20x = 1,975,512.70
  5. Step 5: Solve for x
    x = 1,975,512.70/1,632.20
  6. Step 6: Final answer
    x = 1,210.34

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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.