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Finding the Fourth Proportional to 1,484.86, 2,228.56 and 619.78

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Solution

The fourth proportional to 1,484.86, 2,228.56 and 619.78 is: 930.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.86 : 2,228.56 = 619.78 : x
  2. Step 2: Convert to fraction form
    1,484.86/2,228.56 = 619.78/x
  3. Step 3: Cross multiply
    1,484.86x = 2,228.56 × 619.78
  4. Step 4: Simplify right side
    1,484.86x = 1,381,216.92
  5. Step 5: Solve for x
    x = 1,381,216.92/1,484.86
  6. Step 6: Final answer
    x = 930.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.