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Finding the Fourth Proportional to 2,476.99, 3,722.78 and 1,616.77

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Solution

The fourth proportional to 2,476.99, 3,722.78 and 1,616.77 is: 2,429.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.99 : 3,722.78 = 1,616.77 : x
  2. Step 2: Convert to fraction form
    2,476.99/3,722.78 = 1,616.77/x
  3. Step 3: Cross multiply
    2,476.99x = 3,722.78 × 1,616.77
  4. Step 4: Simplify right side
    2,476.99x = 6,018,879.02
  5. Step 5: Solve for x
    x = 6,018,879.02/2,476.99
  6. Step 6: Final answer
    x = 2,429.92

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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.