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Finding the Fourth Proportional to 1,527.75, 2,284.62 and 1,138.02

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Solution

The fourth proportional to 1,527.75, 2,284.62 and 1,138.02 is: 1,701.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.75 : 2,284.62 = 1,138.02 : x
  2. Step 2: Convert to fraction form
    1,527.75/2,284.62 = 1,138.02/x
  3. Step 3: Cross multiply
    1,527.75x = 2,284.62 × 1,138.02
  4. Step 4: Simplify right side
    1,527.75x = 2,599,936.84
  5. Step 5: Solve for x
    x = 2,599,936.84/1,527.75
  6. Step 6: Final answer
    x = 1,701.81

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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.