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Finding the Fourth Proportional to 2,530.19, 3,491.41 and 1,535.41

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Solution

The fourth proportional to 2,530.19, 3,491.41 and 1,535.41 is: 2,118.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,530.19 : 3,491.41 = 1,535.41 : x
  2. Step 2: Convert to fraction form
    2,530.19/3,491.41 = 1,535.41/x
  3. Step 3: Cross multiply
    2,530.19x = 3,491.41 × 1,535.41
  4. Step 4: Simplify right side
    2,530.19x = 5,360,745.83
  5. Step 5: Solve for x
    x = 5,360,745.83/2,530.19
  6. Step 6: Final answer
    x = 2,118.71

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