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Finding the Fourth Proportional to 2,866.06, 4,295.04 and 1,406.23

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Solution

The fourth proportional to 2,866.06, 4,295.04 and 1,406.23 is: 2,107.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.06 : 4,295.04 = 1,406.23 : x
  2. Step 2: Convert to fraction form
    2,866.06/4,295.04 = 1,406.23/x
  3. Step 3: Cross multiply
    2,866.06x = 4,295.04 × 1,406.23
  4. Step 4: Simplify right side
    2,866.06x = 6,039,814.10
  5. Step 5: Solve for x
    x = 6,039,814.10/2,866.06
  6. Step 6: Final answer
    x = 2,107.36

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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.