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Finding the Fourth Proportional to 2,558.84, 3,527.97 and 1,673.24

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Solution

The fourth proportional to 2,558.84, 3,527.97 and 1,673.24 is: 2,306.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558.84 : 3,527.97 = 1,673.24 : x
  2. Step 2: Convert to fraction form
    2,558.84/3,527.97 = 1,673.24/x
  3. Step 3: Cross multiply
    2,558.84x = 3,527.97 × 1,673.24
  4. Step 4: Simplify right side
    2,558.84x = 5,903,140.52
  5. Step 5: Solve for x
    x = 5,903,140.52/2,558.84
  6. Step 6: Final answer
    x = 2,306.96

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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.