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Finding the Fourth Proportional to 2,304.65, 3,457.56 and 661.31

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Solution

The fourth proportional to 2,304.65, 3,457.56 and 661.31 is: 992.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.65 : 3,457.56 = 661.31 : x
  2. Step 2: Convert to fraction form
    2,304.65/3,457.56 = 661.31/x
  3. Step 3: Cross multiply
    2,304.65x = 3,457.56 × 661.31
  4. Step 4: Simplify right side
    2,304.65x = 2,286,501.72
  5. Step 5: Solve for x
    x = 2,286,501.72/2,304.65
  6. Step 6: Final answer
    x = 992.13

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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.