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Finding the Fourth Proportional to 2,027.64, 2,789.36 and 1,653.80

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Solution

The fourth proportional to 2,027.64, 2,789.36 and 1,653.80 is: 2,275.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.64 : 2,789.36 = 1,653.80 : x
  2. Step 2: Convert to fraction form
    2,027.64/2,789.36 = 1,653.80/x
  3. Step 3: Cross multiply
    2,027.64x = 2,789.36 × 1,653.80
  4. Step 4: Simplify right side
    2,027.64x = 4,613,043.57
  5. Step 5: Solve for x
    x = 4,613,043.57/2,027.64
  6. Step 6: Final answer
    x = 2,275.08

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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.