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Finding the Fourth Proportional to 2,993.81, 4,491.14 and 1,045.53

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Solution

The fourth proportional to 2,993.81, 4,491.14 and 1,045.53 is: 1,568.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.81 : 4,491.14 = 1,045.53 : x
  2. Step 2: Convert to fraction form
    2,993.81/4,491.14 = 1,045.53/x
  3. Step 3: Cross multiply
    2,993.81x = 4,491.14 × 1,045.53
  4. Step 4: Simplify right side
    2,993.81x = 4,695,616.38
  5. Step 5: Solve for x
    x = 4,695,616.38/2,993.81
  6. Step 6: Final answer
    x = 1,568.44

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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.