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Finding the Fourth Proportional to 2,065.08, 2,845 and 1,689.87

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Solution

The fourth proportional to 2,065.08, 2,845 and 1,689.87 is: 2,328.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.08 : 2,845 = 1,689.87 : x
  2. Step 2: Convert to fraction form
    2,065.08/2,845 = 1,689.87/x
  3. Step 3: Cross multiply
    2,065.08x = 2,845 × 1,689.87
  4. Step 4: Simplify right side
    2,065.08x = 4,807,680.15
  5. Step 5: Solve for x
    x = 4,807,680.15/2,065.08
  6. Step 6: Final answer
    x = 2,328.08

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Why These Related Problems?

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