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Finding the Fourth Proportional to 3,020.74, 4,530.63 and 968.74

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Solution

The fourth proportional to 3,020.74, 4,530.63 and 968.74 is: 1,452.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,020.74 : 4,530.63 = 968.74 : x
  2. Step 2: Convert to fraction form
    3,020.74/4,530.63 = 968.74/x
  3. Step 3: Cross multiply
    3,020.74x = 4,530.63 × 968.74
  4. Step 4: Simplify right side
    3,020.74x = 4,389,002.51
  5. Step 5: Solve for x
    x = 4,389,002.51/3,020.74
  6. Step 6: Final answer
    x = 1,452.96

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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.