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Finding the Fourth Proportional to 1,881.67, 2,823.19 and 1,223.50

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Solution

The fourth proportional to 1,881.67, 2,823.19 and 1,223.50 is: 1,835.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.67 : 2,823.19 = 1,223.50 : x
  2. Step 2: Convert to fraction form
    1,881.67/2,823.19 = 1,223.50/x
  3. Step 3: Cross multiply
    1,881.67x = 2,823.19 × 1,223.50
  4. Step 4: Simplify right side
    1,881.67x = 3,454,162.85
  5. Step 5: Solve for x
    x = 3,454,162.85/1,881.67
  6. Step 6: Final answer
    x = 1,835.69

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Why These Related Problems?

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