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Finding the Fourth Proportional to 2,106.84, 2,907.24 and 1,267.56

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Solution

The fourth proportional to 2,106.84, 2,907.24 and 1,267.56 is: 1,749.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.84 : 2,907.24 = 1,267.56 : x
  2. Step 2: Convert to fraction form
    2,106.84/2,907.24 = 1,267.56/x
  3. Step 3: Cross multiply
    2,106.84x = 2,907.24 × 1,267.56
  4. Step 4: Simplify right side
    2,106.84x = 3,685,101.13
  5. Step 5: Solve for x
    x = 3,685,101.13/2,106.84
  6. Step 6: Final answer
    x = 1,749.11

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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.