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Finding the Fourth Proportional to 2,253.60, 3,107.36 and 1,653.36

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Solution

The fourth proportional to 2,253.60, 3,107.36 and 1,653.36 is: 2,279.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,253.60 : 3,107.36 = 1,653.36 : x
  2. Step 2: Convert to fraction form
    2,253.60/3,107.36 = 1,653.36/x
  3. Step 3: Cross multiply
    2,253.60x = 3,107.36 × 1,653.36
  4. Step 4: Simplify right side
    2,253.60x = 5,137,584.73
  5. Step 5: Solve for x
    x = 5,137,584.73/2,253.60
  6. Step 6: Final answer
    x = 2,279.72

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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.