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Finding the Fourth Proportional to 1,690.68, 2,518.92 and 1,608.06

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Solution

The fourth proportional to 1,690.68, 2,518.92 and 1,608.06 is: 2,395.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.68 : 2,518.92 = 1,608.06 : x
  2. Step 2: Convert to fraction form
    1,690.68/2,518.92 = 1,608.06/x
  3. Step 3: Cross multiply
    1,690.68x = 2,518.92 × 1,608.06
  4. Step 4: Simplify right side
    1,690.68x = 4,050,574.50
  5. Step 5: Solve for x
    x = 4,050,574.50/1,690.68
  6. Step 6: Final answer
    x = 2,395.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.