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Finding the Fourth Proportional to 1,315.28, 1,814.52 and 1,021.88

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Solution

The fourth proportional to 1,315.28, 1,814.52 and 1,021.88 is: 1,409.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.28 : 1,814.52 = 1,021.88 : x
  2. Step 2: Convert to fraction form
    1,315.28/1,814.52 = 1,021.88/x
  3. Step 3: Cross multiply
    1,315.28x = 1,814.52 × 1,021.88
  4. Step 4: Simplify right side
    1,315.28x = 1,854,221.70
  5. Step 5: Solve for x
    x = 1,854,221.70/1,315.28
  6. Step 6: Final answer
    x = 1,409.75

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