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Finding the Fourth Proportional to 2,352.78, 3,528.57 and 708.93

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Solution

The fourth proportional to 2,352.78, 3,528.57 and 708.93 is: 1,063.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.78 : 3,528.57 = 708.93 : x
  2. Step 2: Convert to fraction form
    2,352.78/3,528.57 = 708.93/x
  3. Step 3: Cross multiply
    2,352.78x = 3,528.57 × 708.93
  4. Step 4: Simplify right side
    2,352.78x = 2,501,509.13
  5. Step 5: Solve for x
    x = 2,501,509.13/2,352.78
  6. Step 6: Final answer
    x = 1,063.21

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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.