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Finding the Fourth Proportional to 2,458.84, 3,688.86 and 1,226.84

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Solution

The fourth proportional to 2,458.84, 3,688.86 and 1,226.84 is: 1,840.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.84 : 3,688.86 = 1,226.84 : x
  2. Step 2: Convert to fraction form
    2,458.84/3,688.86 = 1,226.84/x
  3. Step 3: Cross multiply
    2,458.84x = 3,688.86 × 1,226.84
  4. Step 4: Simplify right side
    2,458.84x = 4,525,641.00
  5. Step 5: Solve for x
    x = 4,525,641.00/2,458.84
  6. Step 6: Final answer
    x = 1,840.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.