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Finding the Fourth Proportional to 2,706.01, 3,734.91 and 1,586.99

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Solution

The fourth proportional to 2,706.01, 3,734.91 and 1,586.99 is: 2,190.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.01 : 3,734.91 = 1,586.99 : x
  2. Step 2: Convert to fraction form
    2,706.01/3,734.91 = 1,586.99/x
  3. Step 3: Cross multiply
    2,706.01x = 3,734.91 × 1,586.99
  4. Step 4: Simplify right side
    2,706.01x = 5,927,274.16
  5. Step 5: Solve for x
    x = 5,927,274.16/2,706.01
  6. Step 6: Final answer
    x = 2,190.41

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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.