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Finding the Fourth Proportional to 3,029.38, 4,544.06 and 977.38

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Solution

The fourth proportional to 3,029.38, 4,544.06 and 977.38 is: 1,466.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,029.38 : 4,544.06 = 977.38 : x
  2. Step 2: Convert to fraction form
    3,029.38/4,544.06 = 977.38/x
  3. Step 3: Cross multiply
    3,029.38x = 4,544.06 × 977.38
  4. Step 4: Simplify right side
    3,029.38x = 4,441,273.36
  5. Step 5: Solve for x
    x = 4,441,273.36/3,029.38
  6. Step 6: Final answer
    x = 1,466.07

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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.