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Finding the Fourth Proportional to 2,284.65, 3,427.95 and 1,115.69

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Solution

The fourth proportional to 2,284.65, 3,427.95 and 1,115.69 is: 1,674.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.65 : 3,427.95 = 1,115.69 : x
  2. Step 2: Convert to fraction form
    2,284.65/3,427.95 = 1,115.69/x
  3. Step 3: Cross multiply
    2,284.65x = 3,427.95 × 1,115.69
  4. Step 4: Simplify right side
    2,284.65x = 3,824,512.40
  5. Step 5: Solve for x
    x = 3,824,512.40/2,284.65
  6. Step 6: Final answer
    x = 1,674.00

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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.