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Finding the Fourth Proportional to 2,233.16, 3,349.91 and 589.69

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Solution

The fourth proportional to 2,233.16, 3,349.91 and 589.69 is: 884.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,233.16 : 3,349.91 = 589.69 : x
  2. Step 2: Convert to fraction form
    2,233.16/3,349.91 = 589.69/x
  3. Step 3: Cross multiply
    2,233.16x = 3,349.91 × 589.69
  4. Step 4: Simplify right side
    2,233.16x = 1,975,397.10
  5. Step 5: Solve for x
    x = 1,975,397.10/2,233.16
  6. Step 6: Final answer
    x = 884.57

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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.