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Finding the Fourth Proportional to 2,415.02, 3,622.83 and 854.70

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Solution

The fourth proportional to 2,415.02, 3,622.83 and 854.70 is: 1,282.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415.02 : 3,622.83 = 854.70 : x
  2. Step 2: Convert to fraction form
    2,415.02/3,622.83 = 854.70/x
  3. Step 3: Cross multiply
    2,415.02x = 3,622.83 × 854.70
  4. Step 4: Simplify right side
    2,415.02x = 3,096,432.80
  5. Step 5: Solve for x
    x = 3,096,432.80/2,415.02
  6. Step 6: Final answer
    x = 1,282.16

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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.