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Finding the Fourth Proportional to 1,321.55, 1,972.83 and 1,225.42

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Solution

The fourth proportional to 1,321.55, 1,972.83 and 1,225.42 is: 1,829.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.55 : 1,972.83 = 1,225.42 : x
  2. Step 2: Convert to fraction form
    1,321.55/1,972.83 = 1,225.42/x
  3. Step 3: Cross multiply
    1,321.55x = 1,972.83 × 1,225.42
  4. Step 4: Simplify right side
    1,321.55x = 2,417,545.34
  5. Step 5: Solve for x
    x = 2,417,545.34/1,321.55
  6. Step 6: Final answer
    x = 1,829.33

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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.