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Finding the Fourth Proportional to 2,203.48, 3,302.70 and 969.04

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Solution

The fourth proportional to 2,203.48, 3,302.70 and 969.04 is: 1,452.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.48 : 3,302.70 = 969.04 : x
  2. Step 2: Convert to fraction form
    2,203.48/3,302.70 = 969.04/x
  3. Step 3: Cross multiply
    2,203.48x = 3,302.70 × 969.04
  4. Step 4: Simplify right side
    2,203.48x = 3,200,448.41
  5. Step 5: Solve for x
    x = 3,200,448.41/2,203.48
  6. Step 6: Final answer
    x = 1,452.45

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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.