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Finding the Fourth Proportional to 3,416.32, 4,714.41 and 1,924.30

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Solution

The fourth proportional to 3,416.32, 4,714.41 and 1,924.30 is: 2,655.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.32 : 4,714.41 = 1,924.30 : x
  2. Step 2: Convert to fraction form
    3,416.32/4,714.41 = 1,924.30/x
  3. Step 3: Cross multiply
    3,416.32x = 4,714.41 × 1,924.30
  4. Step 4: Simplify right side
    3,416.32x = 9,071,939.16
  5. Step 5: Solve for x
    x = 9,071,939.16/3,416.32
  6. Step 6: Final answer
    x = 2,655.47

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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.