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Finding the Fourth Proportional to 1,777.21, 2,452.55 and 1,069.06

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Solution

The fourth proportional to 1,777.21, 2,452.55 and 1,069.06 is: 1,475.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.21 : 2,452.55 = 1,069.06 : x
  2. Step 2: Convert to fraction form
    1,777.21/2,452.55 = 1,069.06/x
  3. Step 3: Cross multiply
    1,777.21x = 2,452.55 × 1,069.06
  4. Step 4: Simplify right side
    1,777.21x = 2,621,905.49
  5. Step 5: Solve for x
    x = 2,621,905.49/1,777.21
  6. Step 6: Final answer
    x = 1,475.30

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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.