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Finding the Fourth Proportional to 2,153.28, 3,225.04 and 2,104.68

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Solution

The fourth proportional to 2,153.28, 3,225.04 and 2,104.68 is: 3,152.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.28 : 3,225.04 = 2,104.68 : x
  2. Step 2: Convert to fraction form
    2,153.28/3,225.04 = 2,104.68/x
  3. Step 3: Cross multiply
    2,153.28x = 3,225.04 × 2,104.68
  4. Step 4: Simplify right side
    2,153.28x = 6,787,677.19
  5. Step 5: Solve for x
    x = 6,787,677.19/2,153.28
  6. Step 6: Final answer
    x = 3,152.25

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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.