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Finding the Fourth Proportional to 2,043.12, 3,065.75 and 946.89

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Solution

The fourth proportional to 2,043.12, 3,065.75 and 946.89 is: 1,420.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.12 : 3,065.75 = 946.89 : x
  2. Step 2: Convert to fraction form
    2,043.12/3,065.75 = 946.89/x
  3. Step 3: Cross multiply
    2,043.12x = 3,065.75 × 946.89
  4. Step 4: Simplify right side
    2,043.12x = 2,902,926.83
  5. Step 5: Solve for x
    x = 2,902,926.83/2,043.12
  6. Step 6: Final answer
    x = 1,420.83

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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.