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Finding the Fourth Proportional to 2,337.80, 3,507.28 and 694.34

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Solution

The fourth proportional to 2,337.80, 3,507.28 and 694.34 is: 1,041.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.80 : 3,507.28 = 694.34 : x
  2. Step 2: Convert to fraction form
    2,337.80/3,507.28 = 694.34/x
  3. Step 3: Cross multiply
    2,337.80x = 3,507.28 × 694.34
  4. Step 4: Simplify right side
    2,337.80x = 2,435,244.80
  5. Step 5: Solve for x
    x = 2,435,244.80/2,337.80
  6. Step 6: Final answer
    x = 1,041.68

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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.