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Finding the Fourth Proportional to 1,907.40, 2,856.09 and 1,535.23

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Solution

The fourth proportional to 1,907.40, 2,856.09 and 1,535.23 is: 2,298.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,907.40 : 2,856.09 = 1,535.23 : x
  2. Step 2: Convert to fraction form
    1,907.40/2,856.09 = 1,535.23/x
  3. Step 3: Cross multiply
    1,907.40x = 2,856.09 × 1,535.23
  4. Step 4: Simplify right side
    1,907.40x = 4,384,755.05
  5. Step 5: Solve for x
    x = 4,384,755.05/1,907.40
  6. Step 6: Final answer
    x = 2,298.81

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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.