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Finding the Fourth Proportional to 1,222.93, 1,834.18 and 345.35

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Solution

The fourth proportional to 1,222.93, 1,834.18 and 345.35 is: 517.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.93 : 1,834.18 = 345.35 : x
  2. Step 2: Convert to fraction form
    1,222.93/1,834.18 = 345.35/x
  3. Step 3: Cross multiply
    1,222.93x = 1,834.18 × 345.35
  4. Step 4: Simplify right side
    1,222.93x = 633,434.06
  5. Step 5: Solve for x
    x = 633,434.06/1,222.93
  6. Step 6: Final answer
    x = 517.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.