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Finding the Fourth Proportional to 1,917.99, 2,876.37 and 619.16

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Solution

The fourth proportional to 1,917.99, 2,876.37 and 619.16 is: 928.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,917.99 : 2,876.37 = 619.16 : x
  2. Step 2: Convert to fraction form
    1,917.99/2,876.37 = 619.16/x
  3. Step 3: Cross multiply
    1,917.99x = 2,876.37 × 619.16
  4. Step 4: Simplify right side
    1,917.99x = 1,780,933.25
  5. Step 5: Solve for x
    x = 1,780,933.25/1,917.99
  6. Step 6: Final answer
    x = 928.54

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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.