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Finding the Fourth Proportional to 2,350.87, 3,526.26 and 619.48

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Solution

The fourth proportional to 2,350.87, 3,526.26 and 619.48 is: 929.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,350.87 : 3,526.26 = 619.48 : x
  2. Step 2: Convert to fraction form
    2,350.87/3,526.26 = 619.48/x
  3. Step 3: Cross multiply
    2,350.87x = 3,526.26 × 619.48
  4. Step 4: Simplify right side
    2,350.87x = 2,184,447.54
  5. Step 5: Solve for x
    x = 2,184,447.54/2,350.87
  6. Step 6: Final answer
    x = 929.21

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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.