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Finding the Fourth Proportional to 2,983.54, 4,474.16 and 1,133.68

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Solution

The fourth proportional to 2,983.54, 4,474.16 and 1,133.68 is: 1,700.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983.54 : 4,474.16 = 1,133.68 : x
  2. Step 2: Convert to fraction form
    2,983.54/4,474.16 = 1,133.68/x
  3. Step 3: Cross multiply
    2,983.54x = 4,474.16 × 1,133.68
  4. Step 4: Simplify right side
    2,983.54x = 5,072,265.71
  5. Step 5: Solve for x
    x = 5,072,265.71/2,983.54
  6. Step 6: Final answer
    x = 1,700.08

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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.