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Finding the Fourth Proportional to 2,106.47, 2,907.02 and 1,267.25

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Solution

The fourth proportional to 2,106.47, 2,907.02 and 1,267.25 is: 1,748.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.47 : 2,907.02 = 1,267.25 : x
  2. Step 2: Convert to fraction form
    2,106.47/2,907.02 = 1,267.25/x
  3. Step 3: Cross multiply
    2,106.47x = 2,907.02 × 1,267.25
  4. Step 4: Simplify right side
    2,106.47x = 3,683,909.73
  5. Step 5: Solve for x
    x = 3,683,909.73/2,106.47
  6. Step 6: Final answer
    x = 1,748.85

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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.