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Finding the Fourth Proportional to 2,013.95, 3,014.73 and 1,284.03

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Solution

The fourth proportional to 2,013.95, 3,014.73 and 1,284.03 is: 1,922.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.95 : 3,014.73 = 1,284.03 : x
  2. Step 2: Convert to fraction form
    2,013.95/3,014.73 = 1,284.03/x
  3. Step 3: Cross multiply
    2,013.95x = 3,014.73 × 1,284.03
  4. Step 4: Simplify right side
    2,013.95x = 3,871,003.76
  5. Step 5: Solve for x
    x = 3,871,003.76/2,013.95
  6. Step 6: Final answer
    x = 1,922.10

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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.