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Finding the Fourth Proportional to 1,783.54, 2,461.84 and 1,224.79

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Solution

The fourth proportional to 1,783.54, 2,461.84 and 1,224.79 is: 1,690.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.54 : 2,461.84 = 1,224.79 : x
  2. Step 2: Convert to fraction form
    1,783.54/2,461.84 = 1,224.79/x
  3. Step 3: Cross multiply
    1,783.54x = 2,461.84 × 1,224.79
  4. Step 4: Simplify right side
    1,783.54x = 3,015,234.69
  5. Step 5: Solve for x
    x = 3,015,234.69/1,783.54
  6. Step 6: Final answer
    x = 1,690.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.