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Finding the Fourth Proportional to 2,588.99, 3,571.98 and 1,540.58

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Solution

The fourth proportional to 2,588.99, 3,571.98 and 1,540.58 is: 2,125.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.99 : 3,571.98 = 1,540.58 : x
  2. Step 2: Convert to fraction form
    2,588.99/3,571.98 = 1,540.58/x
  3. Step 3: Cross multiply
    2,588.99x = 3,571.98 × 1,540.58
  4. Step 4: Simplify right side
    2,588.99x = 5,502,920.95
  5. Step 5: Solve for x
    x = 5,502,920.95/2,588.99
  6. Step 6: Final answer
    x = 2,125.51

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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.