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Finding the Fourth Proportional to 2,352.49, 3,528.74 and 709.04

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Solution

The fourth proportional to 2,352.49, 3,528.74 and 709.04 is: 1,063.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.49 : 3,528.74 = 709.04 : x
  2. Step 2: Convert to fraction form
    2,352.49/3,528.74 = 709.04/x
  3. Step 3: Cross multiply
    2,352.49x = 3,528.74 × 709.04
  4. Step 4: Simplify right side
    2,352.49x = 2,502,017.81
  5. Step 5: Solve for x
    x = 2,502,017.81/2,352.49
  6. Step 6: Final answer
    x = 1,063.56

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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.