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Finding the Fourth Proportional to 1,618.84, 2,428.25 and 578.64

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Solution

The fourth proportional to 1,618.84, 2,428.25 and 578.64 is: 867.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618.84 : 2,428.25 = 578.64 : x
  2. Step 2: Convert to fraction form
    1,618.84/2,428.25 = 578.64/x
  3. Step 3: Cross multiply
    1,618.84x = 2,428.25 × 578.64
  4. Step 4: Simplify right side
    1,618.84x = 1,405,093.68
  5. Step 5: Solve for x
    x = 1,405,093.68/1,618.84
  6. Step 6: Final answer
    x = 867.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.