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Finding the Fourth Proportional to 1,783.19, 2,674.02 and 613.31

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Solution

The fourth proportional to 1,783.19, 2,674.02 and 613.31 is: 919.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.19 : 2,674.02 = 613.31 : x
  2. Step 2: Convert to fraction form
    1,783.19/2,674.02 = 613.31/x
  3. Step 3: Cross multiply
    1,783.19x = 2,674.02 × 613.31
  4. Step 4: Simplify right side
    1,783.19x = 1,640,003.21
  5. Step 5: Solve for x
    x = 1,640,003.21/1,783.19
  6. Step 6: Final answer
    x = 919.70

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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.