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Finding the Fourth Proportional to 2,054.97, 2,834.60 and 1,465.70

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Solution

The fourth proportional to 2,054.97, 2,834.60 and 1,465.70 is: 2,021.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.97 : 2,834.60 = 1,465.70 : x
  2. Step 2: Convert to fraction form
    2,054.97/2,834.60 = 1,465.70/x
  3. Step 3: Cross multiply
    2,054.97x = 2,834.60 × 1,465.70
  4. Step 4: Simplify right side
    2,054.97x = 4,154,651.72
  5. Step 5: Solve for x
    x = 4,154,651.72/2,054.97
  6. Step 6: Final answer
    x = 2,021.76

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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.