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Finding the Fourth Proportional to 2,013.84, 3,025.56 and 1,284.84

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Solution

The fourth proportional to 2,013.84, 3,025.56 and 1,284.84 is: 1,930.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.84 : 3,025.56 = 1,284.84 : x
  2. Step 2: Convert to fraction form
    2,013.84/3,025.56 = 1,284.84/x
  3. Step 3: Cross multiply
    2,013.84x = 3,025.56 × 1,284.84
  4. Step 4: Simplify right side
    2,013.84x = 3,887,360.51
  5. Step 5: Solve for x
    x = 3,887,360.51/2,013.84
  6. Step 6: Final answer
    x = 1,930.32

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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.