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Finding the Fourth Proportional to 1,714.32, 2,571.36 and 848.64

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Solution

The fourth proportional to 1,714.32, 2,571.36 and 848.64 is: 1,272.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.32 : 2,571.36 = 848.64 : x
  2. Step 2: Convert to fraction form
    1,714.32/2,571.36 = 848.64/x
  3. Step 3: Cross multiply
    1,714.32x = 2,571.36 × 848.64
  4. Step 4: Simplify right side
    1,714.32x = 2,182,158.95
  5. Step 5: Solve for x
    x = 2,182,158.95/1,714.32
  6. Step 6: Final answer
    x = 1,272.90

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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.