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Finding the Fourth Proportional to 1,505.95, 2,257.39 and 1,019.05

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Solution

The fourth proportional to 1,505.95, 2,257.39 and 1,019.05 is: 1,527.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.95 : 2,257.39 = 1,019.05 : x
  2. Step 2: Convert to fraction form
    1,505.95/2,257.39 = 1,019.05/x
  3. Step 3: Cross multiply
    1,505.95x = 2,257.39 × 1,019.05
  4. Step 4: Simplify right side
    1,505.95x = 2,300,393.28
  5. Step 5: Solve for x
    x = 2,300,393.28/1,505.95
  6. Step 6: Final answer
    x = 1,527.54

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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.