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Finding the Fourth Proportional to 2,352.44, 3,527.94 and 1,053.20

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Solution

The fourth proportional to 2,352.44, 3,527.94 and 1,053.20 is: 1,579.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.44 : 3,527.94 = 1,053.20 : x
  2. Step 2: Convert to fraction form
    2,352.44/3,527.94 = 1,053.20/x
  3. Step 3: Cross multiply
    2,352.44x = 3,527.94 × 1,053.20
  4. Step 4: Simplify right side
    2,352.44x = 3,715,626.41
  5. Step 5: Solve for x
    x = 3,715,626.41/2,352.44
  6. Step 6: Final answer
    x = 1,579.48

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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.