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Finding the Fourth Proportional to 1,225.50, 1,829.26 and 1,053.27

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Solution

The fourth proportional to 1,225.50, 1,829.26 and 1,053.27 is: 1,572.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.50 : 1,829.26 = 1,053.27 : x
  2. Step 2: Convert to fraction form
    1,225.50/1,829.26 = 1,053.27/x
  3. Step 3: Cross multiply
    1,225.50x = 1,829.26 × 1,053.27
  4. Step 4: Simplify right side
    1,225.50x = 1,926,704.68
  5. Step 5: Solve for x
    x = 1,926,704.68/1,225.50
  6. Step 6: Final answer
    x = 1,572.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.