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Finding the Fourth Proportional to 2,884.15, 3,980.21 and 1,689.89

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Solution

The fourth proportional to 2,884.15, 3,980.21 and 1,689.89 is: 2,332.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.15 : 3,980.21 = 1,689.89 : x
  2. Step 2: Convert to fraction form
    2,884.15/3,980.21 = 1,689.89/x
  3. Step 3: Cross multiply
    2,884.15x = 3,980.21 × 1,689.89
  4. Step 4: Simplify right side
    2,884.15x = 6,726,117.08
  5. Step 5: Solve for x
    x = 6,726,117.08/2,884.15
  6. Step 6: Final answer
    x = 2,332.10

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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.