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Finding the Fourth Proportional to 1,491.69, 2,232.90 and 1,102.13

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Solution

The fourth proportional to 1,491.69, 2,232.90 and 1,102.13 is: 1,649.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,491.69 : 2,232.90 = 1,102.13 : x
  2. Step 2: Convert to fraction form
    1,491.69/2,232.90 = 1,102.13/x
  3. Step 3: Cross multiply
    1,491.69x = 2,232.90 × 1,102.13
  4. Step 4: Simplify right side
    1,491.69x = 2,460,934.91
  5. Step 5: Solve for x
    x = 2,460,934.91/1,491.69
  6. Step 6: Final answer
    x = 1,649.76

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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.