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Finding the Fourth Proportional to 1,491.06, 2,238.30 and 875.21

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Solution

The fourth proportional to 1,491.06, 2,238.30 and 875.21 is: 1,313.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,491.06 : 2,238.30 = 875.21 : x
  2. Step 2: Convert to fraction form
    1,491.06/2,238.30 = 875.21/x
  3. Step 3: Cross multiply
    1,491.06x = 2,238.30 × 875.21
  4. Step 4: Simplify right side
    1,491.06x = 1,958,971.35
  5. Step 5: Solve for x
    x = 1,958,971.35/1,491.06
  6. Step 6: Final answer
    x = 1,313.81

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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.