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Finding the Fourth Proportional to 2,019.64, 2,785.66 and 1,753.56

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Solution

The fourth proportional to 2,019.64, 2,785.66 and 1,753.56 is: 2,418.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.64 : 2,785.66 = 1,753.56 : x
  2. Step 2: Convert to fraction form
    2,019.64/2,785.66 = 1,753.56/x
  3. Step 3: Cross multiply
    2,019.64x = 2,785.66 × 1,753.56
  4. Step 4: Simplify right side
    2,019.64x = 4,884,821.95
  5. Step 5: Solve for x
    x = 4,884,821.95/2,019.64
  6. Step 6: Final answer
    x = 2,418.66

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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.