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Finding the Fourth Proportional to 1,927.53, 2,659.45 and 1,209.80

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Solution

The fourth proportional to 1,927.53, 2,659.45 and 1,209.80 is: 1,669.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,927.53 : 2,659.45 = 1,209.80 : x
  2. Step 2: Convert to fraction form
    1,927.53/2,659.45 = 1,209.80/x
  3. Step 3: Cross multiply
    1,927.53x = 2,659.45 × 1,209.80
  4. Step 4: Simplify right side
    1,927.53x = 3,217,409.01
  5. Step 5: Solve for x
    x = 3,217,409.01/1,927.53
  6. Step 6: Final answer
    x = 1,669.19

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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.