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Finding the Fourth Proportional to 2,350.70, 3,526.17 and 619.28

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Solution

The fourth proportional to 2,350.70, 3,526.17 and 619.28 is: 928.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,350.70 : 3,526.17 = 619.28 : x
  2. Step 2: Convert to fraction form
    2,350.70/3,526.17 = 619.28/x
  3. Step 3: Cross multiply
    2,350.70x = 3,526.17 × 619.28
  4. Step 4: Simplify right side
    2,350.70x = 2,183,686.56
  5. Step 5: Solve for x
    x = 2,183,686.56/2,350.70
  6. Step 6: Final answer
    x = 928.95

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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.