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Finding the Fourth Proportional to 1,902.29, 2,623.50 and 1,461.11

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Solution

The fourth proportional to 1,902.29, 2,623.50 and 1,461.11 is: 2,015.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.29 : 2,623.50 = 1,461.11 : x
  2. Step 2: Convert to fraction form
    1,902.29/2,623.50 = 1,461.11/x
  3. Step 3: Cross multiply
    1,902.29x = 2,623.50 × 1,461.11
  4. Step 4: Simplify right side
    1,902.29x = 3,833,222.09
  5. Step 5: Solve for x
    x = 3,833,222.09/1,902.29
  6. Step 6: Final answer
    x = 2,015.06

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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.