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Finding the Fourth Proportional to 8,454.84, 12,682.08 and 2,298.84

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Solution

The fourth proportional to 8,454.84, 12,682.08 and 2,298.84 is: 3,448.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,454.84 : 12,682.08 = 2,298.84 : x
  2. Step 2: Convert to fraction form
    8,454.84/12,682.08 = 2,298.84/x
  3. Step 3: Cross multiply
    8,454.84x = 12,682.08 × 2,298.84
  4. Step 4: Simplify right side
    8,454.84x = 29,154,072.79
  5. Step 5: Solve for x
    x = 29,154,072.79/8,454.84
  6. Step 6: Final answer
    x = 3,448.21

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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.