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Finding the Fourth Proportional to 2,352.18, 3,528.72 and 708.87

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Solution

The fourth proportional to 2,352.18, 3,528.72 and 708.87 is: 1,063.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.18 : 3,528.72 = 708.87 : x
  2. Step 2: Convert to fraction form
    2,352.18/3,528.72 = 708.87/x
  3. Step 3: Cross multiply
    2,352.18x = 3,528.72 × 708.87
  4. Step 4: Simplify right side
    2,352.18x = 2,501,403.75
  5. Step 5: Solve for x
    x = 2,501,403.75/2,352.18
  6. Step 6: Final answer
    x = 1,063.44

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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.