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Finding the Fourth Proportional to 2,107.13, 2,907.49 and 1,267.63

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Solution

The fourth proportional to 2,107.13, 2,907.49 and 1,267.63 is: 1,749.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.13 : 2,907.49 = 1,267.63 : x
  2. Step 2: Convert to fraction form
    2,107.13/2,907.49 = 1,267.63/x
  3. Step 3: Cross multiply
    2,107.13x = 2,907.49 × 1,267.63
  4. Step 4: Simplify right side
    2,107.13x = 3,685,621.55
  5. Step 5: Solve for x
    x = 3,685,621.55/2,107.13
  6. Step 6: Final answer
    x = 1,749.12

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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.