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Finding the Fourth Proportional to 1,484.68, 2,227.02 and 619.24

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Solution

The fourth proportional to 1,484.68, 2,227.02 and 619.24 is: 928.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.68 : 2,227.02 = 619.24 : x
  2. Step 2: Convert to fraction form
    1,484.68/2,227.02 = 619.24/x
  3. Step 3: Cross multiply
    1,484.68x = 2,227.02 × 619.24
  4. Step 4: Simplify right side
    1,484.68x = 1,379,059.86
  5. Step 5: Solve for x
    x = 1,379,059.86/1,484.68
  6. Step 6: Final answer
    x = 928.86

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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.