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Finding the Fourth Proportional to 1,872.04, 2,808.23 and 947.02

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Solution

The fourth proportional to 1,872.04, 2,808.23 and 947.02 is: 1,420.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872.04 : 2,808.23 = 947.02 : x
  2. Step 2: Convert to fraction form
    1,872.04/2,808.23 = 947.02/x
  3. Step 3: Cross multiply
    1,872.04x = 2,808.23 × 947.02
  4. Step 4: Simplify right side
    1,872.04x = 2,659,449.97
  5. Step 5: Solve for x
    x = 2,659,449.97/1,872.04
  6. Step 6: Final answer
    x = 1,420.62

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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.