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Finding the Fourth Proportional to 3,409.58, 4,702.91 and 2,081.58

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Solution

The fourth proportional to 3,409.58, 4,702.91 and 2,081.58 is: 2,871.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.58 : 4,702.91 = 2,081.58 : x
  2. Step 2: Convert to fraction form
    3,409.58/4,702.91 = 2,081.58/x
  3. Step 3: Cross multiply
    3,409.58x = 4,702.91 × 2,081.58
  4. Step 4: Simplify right side
    3,409.58x = 9,789,472.99
  5. Step 5: Solve for x
    x = 9,789,472.99/3,409.58
  6. Step 6: Final answer
    x = 2,871.17

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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.