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Finding the Fourth Proportional to 2,069.94, 3,106.26 and 1,903.08

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Solution

The fourth proportional to 2,069.94, 3,106.26 and 1,903.08 is: 2,855.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.94 : 3,106.26 = 1,903.08 : x
  2. Step 2: Convert to fraction form
    2,069.94/3,106.26 = 1,903.08/x
  3. Step 3: Cross multiply
    2,069.94x = 3,106.26 × 1,903.08
  4. Step 4: Simplify right side
    2,069.94x = 5,911,461.28
  5. Step 5: Solve for x
    x = 5,911,461.28/2,069.94
  6. Step 6: Final answer
    x = 2,855.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.