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Finding the Fourth Proportional to 3,087.45, 4,630.64 and 895.95

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Solution

The fourth proportional to 3,087.45, 4,630.64 and 895.95 is: 1,343.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,087.45 : 4,630.64 = 895.95 : x
  2. Step 2: Convert to fraction form
    3,087.45/4,630.64 = 895.95/x
  3. Step 3: Cross multiply
    3,087.45x = 4,630.64 × 895.95
  4. Step 4: Simplify right side
    3,087.45x = 4,148,817.43
  5. Step 5: Solve for x
    x = 4,148,817.43/3,087.45
  6. Step 6: Final answer
    x = 1,343.77

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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.