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Finding the Fourth Proportional to 3,045.83, 4,568.76 and 966.02

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Solution

The fourth proportional to 3,045.83, 4,568.76 and 966.02 is: 1,449.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,045.83 : 4,568.76 = 966.02 : x
  2. Step 2: Convert to fraction form
    3,045.83/4,568.76 = 966.02/x
  3. Step 3: Cross multiply
    3,045.83x = 4,568.76 × 966.02
  4. Step 4: Simplify right side
    3,045.83x = 4,413,490.69
  5. Step 5: Solve for x
    x = 4,413,490.69/3,045.83
  6. Step 6: Final answer
    x = 1,449.03

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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.