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Finding the Fourth Proportional to 2,932.40, 4,399.03 and 852.13

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Solution

The fourth proportional to 2,932.40, 4,399.03 and 852.13 is: 1,278.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,932.40 : 4,399.03 = 852.13 : x
  2. Step 2: Convert to fraction form
    2,932.40/4,399.03 = 852.13/x
  3. Step 3: Cross multiply
    2,932.40x = 4,399.03 × 852.13
  4. Step 4: Simplify right side
    2,932.40x = 3,748,530.18
  5. Step 5: Solve for x
    x = 3,748,530.18/2,932.40
  6. Step 6: Final answer
    x = 1,278.32

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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.