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Finding the Fourth Proportional to 2,106.83, 2,907.43 and 1,223.15

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Solution

The fourth proportional to 2,106.83, 2,907.43 and 1,223.15 is: 1,687.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.83 : 2,907.43 = 1,223.15 : x
  2. Step 2: Convert to fraction form
    2,106.83/2,907.43 = 1,223.15/x
  3. Step 3: Cross multiply
    2,106.83x = 2,907.43 × 1,223.15
  4. Step 4: Simplify right side
    2,106.83x = 3,556,223.00
  5. Step 5: Solve for x
    x = 3,556,223.00/2,106.83
  6. Step 6: Final answer
    x = 1,687.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.