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Finding the Fourth Proportional to 3,005.07, 4,507.65 and 814.02

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Solution

The fourth proportional to 3,005.07, 4,507.65 and 814.02 is: 1,221.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.07 : 4,507.65 = 814.02 : x
  2. Step 2: Convert to fraction form
    3,005.07/4,507.65 = 814.02/x
  3. Step 3: Cross multiply
    3,005.07x = 4,507.65 × 814.02
  4. Step 4: Simplify right side
    3,005.07x = 3,669,317.25
  5. Step 5: Solve for x
    x = 3,669,317.25/3,005.07
  6. Step 6: Final answer
    x = 1,221.04

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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.