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Finding the Fourth Proportional to 1,714.19, 2,571.28 and 415.66

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Solution

The fourth proportional to 1,714.19, 2,571.28 and 415.66 is: 623.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.19 : 2,571.28 = 415.66 : x
  2. Step 2: Convert to fraction form
    1,714.19/2,571.28 = 415.66/x
  3. Step 3: Cross multiply
    1,714.19x = 2,571.28 × 415.66
  4. Step 4: Simplify right side
    1,714.19x = 1,068,770.78
  5. Step 5: Solve for x
    x = 1,068,770.78/1,714.19
  6. Step 6: Final answer
    x = 623.48

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.