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Finding the Fourth Proportional to 1,618.97, 2,428.47 and 645.07

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Solution

The fourth proportional to 1,618.97, 2,428.47 and 645.07 is: 967.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618.97 : 2,428.47 = 645.07 : x
  2. Step 2: Convert to fraction form
    1,618.97/2,428.47 = 645.07/x
  3. Step 3: Cross multiply
    1,618.97x = 2,428.47 × 645.07
  4. Step 4: Simplify right side
    1,618.97x = 1,566,529.92
  5. Step 5: Solve for x
    x = 1,566,529.92/1,618.97
  6. Step 6: Final answer
    x = 967.61

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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.