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Finding the Fourth Proportional to 2,377.29, 3,564.99 and 989.69

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Solution

The fourth proportional to 2,377.29, 3,564.99 and 989.69 is: 1,484.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.29 : 3,564.99 = 989.69 : x
  2. Step 2: Convert to fraction form
    2,377.29/3,564.99 = 989.69/x
  3. Step 3: Cross multiply
    2,377.29x = 3,564.99 × 989.69
  4. Step 4: Simplify right side
    2,377.29x = 3,528,217.13
  5. Step 5: Solve for x
    x = 3,528,217.13/2,377.29
  6. Step 6: Final answer
    x = 1,484.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.