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Finding the Fourth Proportional to 3,235.41, 4,852.17 and 894.81

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Solution

The fourth proportional to 3,235.41, 4,852.17 and 894.81 is: 1,341.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,235.41 : 4,852.17 = 894.81 : x
  2. Step 2: Convert to fraction form
    3,235.41/4,852.17 = 894.81/x
  3. Step 3: Cross multiply
    3,235.41x = 4,852.17 × 894.81
  4. Step 4: Simplify right side
    3,235.41x = 4,341,770.24
  5. Step 5: Solve for x
    x = 4,341,770.24/3,235.41
  6. Step 6: Final answer
    x = 1,341.95

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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.