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Finding the Fourth Proportional to 1,839.40, 2,760.05 and 1,017.52

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Solution

The fourth proportional to 1,839.40, 2,760.05 and 1,017.52 is: 1,526.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,839.40 : 2,760.05 = 1,017.52 : x
  2. Step 2: Convert to fraction form
    1,839.40/2,760.05 = 1,017.52/x
  3. Step 3: Cross multiply
    1,839.40x = 2,760.05 × 1,017.52
  4. Step 4: Simplify right side
    1,839.40x = 2,808,406.08
  5. Step 5: Solve for x
    x = 2,808,406.08/1,839.40
  6. Step 6: Final answer
    x = 1,526.81

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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.