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Finding the Fourth Proportional to 2,602.68, 3,584.38 and 2,594.56

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Solution

The fourth proportional to 2,602.68, 3,584.38 and 2,594.56 is: 3,573.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.68 : 3,584.38 = 2,594.56 : x
  2. Step 2: Convert to fraction form
    2,602.68/3,584.38 = 2,594.56/x
  3. Step 3: Cross multiply
    2,602.68x = 3,584.38 × 2,594.56
  4. Step 4: Simplify right side
    2,602.68x = 9,299,888.97
  5. Step 5: Solve for x
    x = 9,299,888.97/2,602.68
  6. Step 6: Final answer
    x = 3,573.20

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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.