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Finding the Fourth Proportional to 3,033.16, 4,549.58 and 981

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Solution

The fourth proportional to 3,033.16, 4,549.58 and 981 is: 1,471.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,033.16 : 4,549.58 = 981 : x
  2. Step 2: Convert to fraction form
    3,033.16/4,549.58 = 981/x
  3. Step 3: Cross multiply
    3,033.16x = 4,549.58 × 981
  4. Step 4: Simplify right side
    3,033.16x = 4,463,137.98
  5. Step 5: Solve for x
    x = 4,463,137.98/3,033.16
  6. Step 6: Final answer
    x = 1,471.45

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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.