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Finding the Fourth Proportional to 3,416.76, 4,714.86 and 2,000.24

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Solution

The fourth proportional to 3,416.76, 4,714.86 and 2,000.24 is: 2,760.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.76 : 4,714.86 = 2,000.24 : x
  2. Step 2: Convert to fraction form
    3,416.76/4,714.86 = 2,000.24/x
  3. Step 3: Cross multiply
    3,416.76x = 4,714.86 × 2,000.24
  4. Step 4: Simplify right side
    3,416.76x = 9,430,851.57
  5. Step 5: Solve for x
    x = 9,430,851.57/3,416.76
  6. Step 6: Final answer
    x = 2,760.17

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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.