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Finding the Fourth Proportional to 2,706.35, 3,734.98 and 1,527.63

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Solution

The fourth proportional to 2,706.35, 3,734.98 and 1,527.63 is: 2,108.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.35 : 3,734.98 = 1,527.63 : x
  2. Step 2: Convert to fraction form
    2,706.35/3,734.98 = 1,527.63/x
  3. Step 3: Cross multiply
    2,706.35x = 3,734.98 × 1,527.63
  4. Step 4: Simplify right side
    2,706.35x = 5,705,649.67
  5. Step 5: Solve for x
    x = 5,705,649.67/2,706.35
  6. Step 6: Final answer
    x = 2,108.25

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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.