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Finding the Fourth Proportional to 2,207.48, 3,310.35 and 801.57

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Solution

The fourth proportional to 2,207.48, 3,310.35 and 801.57 is: 1,202.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,207.48 : 3,310.35 = 801.57 : x
  2. Step 2: Convert to fraction form
    2,207.48/3,310.35 = 801.57/x
  3. Step 3: Cross multiply
    2,207.48x = 3,310.35 × 801.57
  4. Step 4: Simplify right side
    2,207.48x = 2,653,477.25
  5. Step 5: Solve for x
    x = 2,653,477.25/2,207.48
  6. Step 6: Final answer
    x = 1,202.04

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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.