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Finding the Fourth Proportional to 2,624.51, 3,617.37 and 1,738.77

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Solution

The fourth proportional to 2,624.51, 3,617.37 and 1,738.77 is: 2,396.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,624.51 : 3,617.37 = 1,738.77 : x
  2. Step 2: Convert to fraction form
    2,624.51/3,617.37 = 1,738.77/x
  3. Step 3: Cross multiply
    2,624.51x = 3,617.37 × 1,738.77
  4. Step 4: Simplify right side
    2,624.51x = 6,289,774.43
  5. Step 5: Solve for x
    x = 6,289,774.43/2,624.51
  6. Step 6: Final answer
    x = 2,396.55

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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.