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Finding the Fourth Proportional to 1,491.21, 2,057.86 and 828.02

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Solution

The fourth proportional to 1,491.21, 2,057.86 and 828.02 is: 1,142.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,491.21 : 2,057.86 = 828.02 : x
  2. Step 2: Convert to fraction form
    1,491.21/2,057.86 = 828.02/x
  3. Step 3: Cross multiply
    1,491.21x = 2,057.86 × 828.02
  4. Step 4: Simplify right side
    1,491.21x = 1,703,950.76
  5. Step 5: Solve for x
    x = 1,703,950.76/1,491.21
  6. Step 6: Final answer
    x = 1,142.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.