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Finding the Fourth Proportional to 2,228.84, 3,075.80 and 1,284.71

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Solution

The fourth proportional to 2,228.84, 3,075.80 and 1,284.71 is: 1,772.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,228.84 : 3,075.80 = 1,284.71 : x
  2. Step 2: Convert to fraction form
    2,228.84/3,075.80 = 1,284.71/x
  3. Step 3: Cross multiply
    2,228.84x = 3,075.80 × 1,284.71
  4. Step 4: Simplify right side
    2,228.84x = 3,951,489.22
  5. Step 5: Solve for x
    x = 3,951,489.22/2,228.84
  6. Step 6: Final answer
    x = 1,772.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.