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Finding the Fourth Proportional to 3,141.99, 4,712.99 and 1,679.13

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Solution

The fourth proportional to 3,141.99, 4,712.99 and 1,679.13 is: 2,518.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.99 : 4,712.99 = 1,679.13 : x
  2. Step 2: Convert to fraction form
    3,141.99/4,712.99 = 1,679.13/x
  3. Step 3: Cross multiply
    3,141.99x = 4,712.99 × 1,679.13
  4. Step 4: Simplify right side
    3,141.99x = 7,913,714.50
  5. Step 5: Solve for x
    x = 7,913,714.50/3,141.99
  6. Step 6: Final answer
    x = 2,518.70

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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.