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Finding the Fourth Proportional to 2,019.64, 2,784.86 and 1,272.70

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Solution

The fourth proportional to 2,019.64, 2,784.86 and 1,272.70 is: 1,754.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.64 : 2,784.86 = 1,272.70 : x
  2. Step 2: Convert to fraction form
    2,019.64/2,784.86 = 1,272.70/x
  3. Step 3: Cross multiply
    2,019.64x = 2,784.86 × 1,272.70
  4. Step 4: Simplify right side
    2,019.64x = 3,544,291.32
  5. Step 5: Solve for x
    x = 3,544,291.32/2,019.64
  6. Step 6: Final answer
    x = 1,754.91

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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.