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Finding the Fourth Proportional to 1,690.83, 2,537.03 and 1,618.62

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Solution

The fourth proportional to 1,690.83, 2,537.03 and 1,618.62 is: 2,428.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.83 : 2,537.03 = 1,618.62 : x
  2. Step 2: Convert to fraction form
    1,690.83/2,537.03 = 1,618.62/x
  3. Step 3: Cross multiply
    1,690.83x = 2,537.03 × 1,618.62
  4. Step 4: Simplify right side
    1,690.83x = 4,106,479.41
  5. Step 5: Solve for x
    x = 4,106,479.41/1,690.83
  6. Step 6: Final answer
    x = 2,428.68

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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.