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Finding the Fourth Proportional to 1,535.95, 2,305.41 and 1,452.70

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Solution

The fourth proportional to 1,535.95, 2,305.41 and 1,452.70 is: 2,180.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.95 : 2,305.41 = 1,452.70 : x
  2. Step 2: Convert to fraction form
    1,535.95/2,305.41 = 1,452.70/x
  3. Step 3: Cross multiply
    1,535.95x = 2,305.41 × 1,452.70
  4. Step 4: Simplify right side
    1,535.95x = 3,349,069.11
  5. Step 5: Solve for x
    x = 3,349,069.11/1,535.95
  6. Step 6: Final answer
    x = 2,180.45

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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.