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Finding the Fourth Proportional to 3,498.94, 4,828.46 and 2,006.77

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Solution

The fourth proportional to 3,498.94, 4,828.46 and 2,006.77 is: 2,769.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.94 : 4,828.46 = 2,006.77 : x
  2. Step 2: Convert to fraction form
    3,498.94/4,828.46 = 2,006.77/x
  3. Step 3: Cross multiply
    3,498.94x = 4,828.46 × 2,006.77
  4. Step 4: Simplify right side
    3,498.94x = 9,689,574.50
  5. Step 5: Solve for x
    x = 9,689,574.50/3,498.94
  6. Step 6: Final answer
    x = 2,769.29

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1.5x scale

Why These Related Problems?

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