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Finding the Fourth Proportional to 2,471.51, 3,413 and 1,588.85

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Solution

The fourth proportional to 2,471.51, 3,413 and 1,588.85 is: 2,194.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.51 : 3,413 = 1,588.85 : x
  2. Step 2: Convert to fraction form
    2,471.51/3,413 = 1,588.85/x
  3. Step 3: Cross multiply
    2,471.51x = 3,413 × 1,588.85
  4. Step 4: Simplify right side
    2,471.51x = 5,422,745.05
  5. Step 5: Solve for x
    x = 5,422,745.05/2,471.51
  6. Step 6: Final answer
    x = 2,194.10

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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.