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Finding the Fourth Proportional to 2,337.08, 3,506.19 and 693.62

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Solution

The fourth proportional to 2,337.08, 3,506.19 and 693.62 is: 1,040.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.08 : 3,506.19 = 693.62 : x
  2. Step 2: Convert to fraction form
    2,337.08/3,506.19 = 693.62/x
  3. Step 3: Cross multiply
    2,337.08x = 3,506.19 × 693.62
  4. Step 4: Simplify right side
    2,337.08x = 2,431,972.24
  5. Step 5: Solve for x
    x = 2,431,972.24/2,337.08
  6. Step 6: Final answer
    x = 1,040.60

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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.