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Finding the Fourth Proportional to 2,352.44, 3,528.96 and 709.04

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Solution

The fourth proportional to 2,352.44, 3,528.96 and 709.04 is: 1,063.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.44 : 3,528.96 = 709.04 : x
  2. Step 2: Convert to fraction form
    2,352.44/3,528.96 = 709.04/x
  3. Step 3: Cross multiply
    2,352.44x = 3,528.96 × 709.04
  4. Step 4: Simplify right side
    2,352.44x = 2,502,173.80
  5. Step 5: Solve for x
    x = 2,502,173.80/2,352.44
  6. Step 6: Final answer
    x = 1,063.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.