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Finding the Fourth Proportional to 3,461.84, 5,189.87 and 1,612.00

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Solution

The fourth proportional to 3,461.84, 5,189.87 and 1,612.00 is: 2,416.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.84 : 5,189.87 = 1,612.00 : x
  2. Step 2: Convert to fraction form
    3,461.84/5,189.87 = 1,612.00/x
  3. Step 3: Cross multiply
    3,461.84x = 5,189.87 × 1,612.00
  4. Step 4: Simplify right side
    3,461.84x = 8,366,080.96
  5. Step 5: Solve for x
    x = 8,366,080.96/3,461.84
  6. Step 6: Final answer
    x = 2,416.66

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1.5x scale

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.