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Finding the Fourth Proportional to 2,350.52, 3,525.78 and 619

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Solution

The fourth proportional to 2,350.52, 3,525.78 and 619 is: 928.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,350.52 : 3,525.78 = 619 : x
  2. Step 2: Convert to fraction form
    2,350.52/3,525.78 = 619/x
  3. Step 3: Cross multiply
    2,350.52x = 3,525.78 × 619
  4. Step 4: Simplify right side
    2,350.52x = 2,182,457.82
  5. Step 5: Solve for x
    x = 2,182,457.82/2,350.52
  6. Step 6: Final answer
    x = 928.50

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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.