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Finding the Fourth Proportional to 2,352.58, 3,528.02 and 708.62

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Solution

The fourth proportional to 2,352.58, 3,528.02 and 708.62 is: 1,062.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.58 : 3,528.02 = 708.62 : x
  2. Step 2: Convert to fraction form
    2,352.58/3,528.02 = 708.62/x
  3. Step 3: Cross multiply
    2,352.58x = 3,528.02 × 708.62
  4. Step 4: Simplify right side
    2,352.58x = 2,500,009.66
  5. Step 5: Solve for x
    x = 2,500,009.66/2,352.58
  6. Step 6: Final answer
    x = 1,062.67

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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.