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Finding the Fourth Proportional to 2,430.27, 3,643.61 and 968.31

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Solution

The fourth proportional to 2,430.27, 3,643.61 and 968.31 is: 1,451.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.27 : 3,643.61 = 968.31 : x
  2. Step 2: Convert to fraction form
    2,430.27/3,643.61 = 968.31/x
  3. Step 3: Cross multiply
    2,430.27x = 3,643.61 × 968.31
  4. Step 4: Simplify right side
    2,430.27x = 3,528,139.16
  5. Step 5: Solve for x
    x = 3,528,139.16/2,430.27
  6. Step 6: Final answer
    x = 1,451.75

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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.