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Finding the Fourth Proportional to 2,320.88, 3,202.16 and 1,325.84

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Solution

The fourth proportional to 2,320.88, 3,202.16 and 1,325.84 is: 1,829.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,320.88 : 3,202.16 = 1,325.84 : x
  2. Step 2: Convert to fraction form
    2,320.88/3,202.16 = 1,325.84/x
  3. Step 3: Cross multiply
    2,320.88x = 3,202.16 × 1,325.84
  4. Step 4: Simplify right side
    2,320.88x = 4,245,551.81
  5. Step 5: Solve for x
    x = 4,245,551.81/2,320.88
  6. Step 6: Final answer
    x = 1,829.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.