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Finding the Fourth Proportional to 1,770.56, 2,658.72 and 1,090.88

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Solution

The fourth proportional to 1,770.56, 2,658.72 and 1,090.88 is: 1,638.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.56 : 2,658.72 = 1,090.88 : x
  2. Step 2: Convert to fraction form
    1,770.56/2,658.72 = 1,090.88/x
  3. Step 3: Cross multiply
    1,770.56x = 2,658.72 × 1,090.88
  4. Step 4: Simplify right side
    1,770.56x = 2,900,344.47
  5. Step 5: Solve for x
    x = 2,900,344.47/1,770.56
  6. Step 6: Final answer
    x = 1,638.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.