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Finding the Fourth Proportional to 2,139.93, 3,210.68 and 969.57

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Solution

The fourth proportional to 2,139.93, 3,210.68 and 969.57 is: 1,454.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.93 : 3,210.68 = 969.57 : x
  2. Step 2: Convert to fraction form
    2,139.93/3,210.68 = 969.57/x
  3. Step 3: Cross multiply
    2,139.93x = 3,210.68 × 969.57
  4. Step 4: Simplify right side
    2,139.93x = 3,112,981.43
  5. Step 5: Solve for x
    x = 3,112,981.43/2,139.93
  6. Step 6: Final answer
    x = 1,454.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.