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Finding the Fourth Proportional to 2,689.83, 3,712.38 and 1,571.40

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Solution

The fourth proportional to 2,689.83, 3,712.38 and 1,571.40 is: 2,168.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.83 : 3,712.38 = 1,571.40 : x
  2. Step 2: Convert to fraction form
    2,689.83/3,712.38 = 1,571.40/x
  3. Step 3: Cross multiply
    2,689.83x = 3,712.38 × 1,571.40
  4. Step 4: Simplify right side
    2,689.83x = 5,833,633.93
  5. Step 5: Solve for x
    x = 5,833,633.93/2,689.83
  6. Step 6: Final answer
    x = 2,168.77

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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.