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Finding the Fourth Proportional to 2,390.85, 3,586.28 and 931.03

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Solution

The fourth proportional to 2,390.85, 3,586.28 and 931.03 is: 1,396.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,390.85 : 3,586.28 = 931.03 : x
  2. Step 2: Convert to fraction form
    2,390.85/3,586.28 = 931.03/x
  3. Step 3: Cross multiply
    2,390.85x = 3,586.28 × 931.03
  4. Step 4: Simplify right side
    2,390.85x = 3,338,920.65
  5. Step 5: Solve for x
    x = 3,338,920.65/2,390.85
  6. Step 6: Final answer
    x = 1,396.54

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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.