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Finding the Fourth Proportional to 1,491.70, 2,232.82 and 1,026.76

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Solution

The fourth proportional to 1,491.70, 2,232.82 and 1,026.76 is: 1,536.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,491.70 : 2,232.82 = 1,026.76 : x
  2. Step 2: Convert to fraction form
    1,491.70/2,232.82 = 1,026.76/x
  3. Step 3: Cross multiply
    1,491.70x = 2,232.82 × 1,026.76
  4. Step 4: Simplify right side
    1,491.70x = 2,292,570.26
  5. Step 5: Solve for x
    x = 2,292,570.26/1,491.70
  6. Step 6: Final answer
    x = 1,536.88

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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.