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Finding the Fourth Proportional to 2,705.58, 3,734.07 and 1,586.88

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Solution

The fourth proportional to 2,705.58, 3,734.07 and 1,586.88 is: 2,190.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.58 : 3,734.07 = 1,586.88 : x
  2. Step 2: Convert to fraction form
    2,705.58/3,734.07 = 1,586.88/x
  3. Step 3: Cross multiply
    2,705.58x = 3,734.07 × 1,586.88
  4. Step 4: Simplify right side
    2,705.58x = 5,925,521.00
  5. Step 5: Solve for x
    x = 5,925,521.00/2,705.58
  6. Step 6: Final answer
    x = 2,190.11

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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.