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Finding the Fourth Proportional to 2,594.92, 3,579.54 and 1,649.08

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Solution

The fourth proportional to 2,594.92, 3,579.54 and 1,649.08 is: 2,274.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.92 : 3,579.54 = 1,649.08 : x
  2. Step 2: Convert to fraction form
    2,594.92/3,579.54 = 1,649.08/x
  3. Step 3: Cross multiply
    2,594.92x = 3,579.54 × 1,649.08
  4. Step 4: Simplify right side
    2,594.92x = 5,902,947.82
  5. Step 5: Solve for x
    x = 5,902,947.82/2,594.92
  6. Step 6: Final answer
    x = 2,274.81

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1.5x scale

Why These Related Problems?

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