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Finding the Fourth Proportional to 3,142.95, 4,714.16 and 1,910.00

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Solution

The fourth proportional to 3,142.95, 4,714.16 and 1,910.00 is: 2,864.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.95 : 4,714.16 = 1,910.00 : x
  2. Step 2: Convert to fraction form
    3,142.95/4,714.16 = 1,910.00/x
  3. Step 3: Cross multiply
    3,142.95x = 4,714.16 × 1,910.00
  4. Step 4: Simplify right side
    3,142.95x = 9,004,012.48
  5. Step 5: Solve for x
    x = 9,004,012.48/3,142.95
  6. Step 6: Final answer
    x = 2,864.83

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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.