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Finding the Fourth Proportional to 3,049.40, 4,572.74 and 969.02

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Solution

The fourth proportional to 3,049.40, 4,572.74 and 969.02 is: 1,453.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049.40 : 4,572.74 = 969.02 : x
  2. Step 2: Convert to fraction form
    3,049.40/4,572.74 = 969.02/x
  3. Step 3: Cross multiply
    3,049.40x = 4,572.74 × 969.02
  4. Step 4: Simplify right side
    3,049.40x = 4,431,076.51
  5. Step 5: Solve for x
    x = 4,431,076.51/3,049.40
  6. Step 6: Final answer
    x = 1,453.10

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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.