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Finding the Fourth Proportional to 2,334.90, 3,502.35 and 2,133.30

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Solution

The fourth proportional to 2,334.90, 3,502.35 and 2,133.30 is: 3,199.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,334.90 : 3,502.35 = 2,133.30 : x
  2. Step 2: Convert to fraction form
    2,334.90/3,502.35 = 2,133.30/x
  3. Step 3: Cross multiply
    2,334.90x = 3,502.35 × 2,133.30
  4. Step 4: Simplify right side
    2,334.90x = 7,471,563.26
  5. Step 5: Solve for x
    x = 7,471,563.26/2,334.90
  6. Step 6: Final answer
    x = 3,199.95

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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.