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Finding the Fourth Proportional to 3,203.14, 4,804.70 and 981.98

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Solution

The fourth proportional to 3,203.14, 4,804.70 and 981.98 is: 1,472.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.14 : 4,804.70 = 981.98 : x
  2. Step 2: Convert to fraction form
    3,203.14/4,804.70 = 981.98/x
  3. Step 3: Cross multiply
    3,203.14x = 4,804.70 × 981.98
  4. Step 4: Simplify right side
    3,203.14x = 4,718,100.14
  5. Step 5: Solve for x
    x = 4,718,100.14/3,203.14
  6. Step 6: Final answer
    x = 1,472.96

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1.5x scale

Why These Related Problems?

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