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Finding the Fourth Proportional to 1,222.69, 1,823.73 and 1,025.40

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Solution

The fourth proportional to 1,222.69, 1,823.73 and 1,025.40 is: 1,529.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.69 : 1,823.73 = 1,025.40 : x
  2. Step 2: Convert to fraction form
    1,222.69/1,823.73 = 1,025.40/x
  3. Step 3: Cross multiply
    1,222.69x = 1,823.73 × 1,025.40
  4. Step 4: Simplify right side
    1,222.69x = 1,870,052.74
  5. Step 5: Solve for x
    x = 1,870,052.74/1,222.69
  6. Step 6: Final answer
    x = 1,529.46

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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.