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Finding the Fourth Proportional to 2,352.72, 3,518.72 and 2,094.52

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Solution

The fourth proportional to 2,352.72, 3,518.72 and 2,094.52 is: 3,132.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.72 : 3,518.72 = 2,094.52 : x
  2. Step 2: Convert to fraction form
    2,352.72/3,518.72 = 2,094.52/x
  3. Step 3: Cross multiply
    2,352.72x = 3,518.72 × 2,094.52
  4. Step 4: Simplify right side
    2,352.72x = 7,370,029.41
  5. Step 5: Solve for x
    x = 7,370,029.41/2,352.72
  6. Step 6: Final answer
    x = 3,132.56

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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.