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Finding the Fourth Proportional to 1,966.80, 2,712.78 and 1,267.50

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Solution

The fourth proportional to 1,966.80, 2,712.78 and 1,267.50 is: 1,748.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.80 : 2,712.78 = 1,267.50 : x
  2. Step 2: Convert to fraction form
    1,966.80/2,712.78 = 1,267.50/x
  3. Step 3: Cross multiply
    1,966.80x = 2,712.78 × 1,267.50
  4. Step 4: Simplify right side
    1,966.80x = 3,438,448.65
  5. Step 5: Solve for x
    x = 3,438,448.65/1,966.80
  6. Step 6: Final answer
    x = 1,748.25

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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.