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Finding the Fourth Proportional to 2,869.18, 4,300.17 and 1,223.80

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Solution

The fourth proportional to 2,869.18, 4,300.17 and 1,223.80 is: 1,834.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869.18 : 4,300.17 = 1,223.80 : x
  2. Step 2: Convert to fraction form
    2,869.18/4,300.17 = 1,223.80/x
  3. Step 3: Cross multiply
    2,869.18x = 4,300.17 × 1,223.80
  4. Step 4: Simplify right side
    2,869.18x = 5,262,537.30
  5. Step 5: Solve for x
    x = 5,262,537.30/2,869.18
  6. Step 6: Final answer
    x = 1,834.16

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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.