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Finding the Fourth Proportional to 3,416.48, 4,714.16 and 2,019.68

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Solution

The fourth proportional to 3,416.48, 4,714.16 and 2,019.68 is: 2,786.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.48 : 4,714.16 = 2,019.68 : x
  2. Step 2: Convert to fraction form
    3,416.48/4,714.16 = 2,019.68/x
  3. Step 3: Cross multiply
    3,416.48x = 4,714.16 × 2,019.68
  4. Step 4: Simplify right side
    3,416.48x = 9,521,094.67
  5. Step 5: Solve for x
    x = 9,521,094.67/3,416.48
  6. Step 6: Final answer
    x = 2,786.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.