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Finding the Fourth Proportional to 1,970.27, 2,716.32 and 1,689.29

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Solution

The fourth proportional to 1,970.27, 2,716.32 and 1,689.29 is: 2,328.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.27 : 2,716.32 = 1,689.29 : x
  2. Step 2: Convert to fraction form
    1,970.27/2,716.32 = 1,689.29/x
  3. Step 3: Cross multiply
    1,970.27x = 2,716.32 × 1,689.29
  4. Step 4: Simplify right side
    1,970.27x = 4,588,652.21
  5. Step 5: Solve for x
    x = 4,588,652.21/1,970.27
  6. Step 6: Final answer
    x = 2,328.95

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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.