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Finding the Fourth Proportional to 2,107.47, 2,907.72 and 1,267.80

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Solution

The fourth proportional to 2,107.47, 2,907.72 and 1,267.80 is: 1,749.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.47 : 2,907.72 = 1,267.80 : x
  2. Step 2: Convert to fraction form
    2,107.47/2,907.72 = 1,267.80/x
  3. Step 3: Cross multiply
    2,107.47x = 2,907.72 × 1,267.80
  4. Step 4: Simplify right side
    2,107.47x = 3,686,407.42
  5. Step 5: Solve for x
    x = 3,686,407.42/2,107.47
  6. Step 6: Final answer
    x = 1,749.21

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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.