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Finding the Fourth Proportional to 2,558.58, 3,529.08 and 2,226.48

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Solution

The fourth proportional to 2,558.58, 3,529.08 and 2,226.48 is: 3,071.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558.58 : 3,529.08 = 2,226.48 : x
  2. Step 2: Convert to fraction form
    2,558.58/3,529.08 = 2,226.48/x
  3. Step 3: Cross multiply
    2,558.58x = 3,529.08 × 2,226.48
  4. Step 4: Simplify right side
    2,558.58x = 7,857,426.04
  5. Step 5: Solve for x
    x = 7,857,426.04/2,558.58
  6. Step 6: Final answer
    x = 3,071.01

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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.