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Finding the Fourth Proportional to 1,618.14, 2,427.03 and 578.10

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Solution

The fourth proportional to 1,618.14, 2,427.03 and 578.10 is: 867.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618.14 : 2,427.03 = 578.10 : x
  2. Step 2: Convert to fraction form
    1,618.14/2,427.03 = 578.10/x
  3. Step 3: Cross multiply
    1,618.14x = 2,427.03 × 578.10
  4. Step 4: Simplify right side
    1,618.14x = 1,403,066.04
  5. Step 5: Solve for x
    x = 1,403,066.04/1,618.14
  6. Step 6: Final answer
    x = 867.09

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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.