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Finding the Fourth Proportional to 1,618.42, 2,428.05 and 578.38

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Solution

The fourth proportional to 1,618.42, 2,428.05 and 578.38 is: 867.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618.42 : 2,428.05 = 578.38 : x
  2. Step 2: Convert to fraction form
    1,618.42/2,428.05 = 578.38/x
  3. Step 3: Cross multiply
    1,618.42x = 2,428.05 × 578.38
  4. Step 4: Simplify right side
    1,618.42x = 1,404,335.56
  5. Step 5: Solve for x
    x = 1,404,335.56/1,618.42
  6. Step 6: Final answer
    x = 867.72

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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.