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Finding the Fourth Proportional to 2,884.50, 3,980.63 and 1,690.19

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Solution

The fourth proportional to 2,884.50, 3,980.63 and 1,690.19 is: 2,332.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.50 : 3,980.63 = 1,690.19 : x
  2. Step 2: Convert to fraction form
    2,884.50/3,980.63 = 1,690.19/x
  3. Step 3: Cross multiply
    2,884.50x = 3,980.63 × 1,690.19
  4. Step 4: Simplify right side
    2,884.50x = 6,728,018.23
  5. Step 5: Solve for x
    x = 6,728,018.23/2,884.50
  6. Step 6: Final answer
    x = 2,332.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.