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Finding the Fourth Proportional to 1,714.35, 2,571.80 and 740.46

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Solution

The fourth proportional to 1,714.35, 2,571.80 and 740.46 is: 1,110.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.35 : 2,571.80 = 740.46 : x
  2. Step 2: Convert to fraction form
    1,714.35/2,571.80 = 740.46/x
  3. Step 3: Cross multiply
    1,714.35x = 2,571.80 × 740.46
  4. Step 4: Simplify right side
    1,714.35x = 1,904,311.33
  5. Step 5: Solve for x
    x = 1,904,311.33/1,714.35
  6. Step 6: Final answer
    x = 1,110.81

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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.