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Finding the Fourth Proportional to 1,770.44, 2,653.13 and 1,304.55

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Solution

The fourth proportional to 1,770.44, 2,653.13 and 1,304.55 is: 1,954.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.44 : 2,653.13 = 1,304.55 : x
  2. Step 2: Convert to fraction form
    1,770.44/2,653.13 = 1,304.55/x
  3. Step 3: Cross multiply
    1,770.44x = 2,653.13 × 1,304.55
  4. Step 4: Simplify right side
    1,770.44x = 3,461,144.00
  5. Step 5: Solve for x
    x = 3,461,144.00/1,770.44
  6. Step 6: Final answer
    x = 1,954.97

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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.