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Finding the Fourth Proportional to 2,312.81, 3,469.07 and 669.32

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Solution

The fourth proportional to 2,312.81, 3,469.07 and 669.32 is: 1,003.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.81 : 3,469.07 = 669.32 : x
  2. Step 2: Convert to fraction form
    2,312.81/3,469.07 = 669.32/x
  3. Step 3: Cross multiply
    2,312.81x = 3,469.07 × 669.32
  4. Step 4: Simplify right side
    2,312.81x = 2,321,897.24
  5. Step 5: Solve for x
    x = 2,321,897.24/2,312.81
  6. Step 6: Final answer
    x = 1,003.93

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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.