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Finding the Fourth Proportional to 3,022.86, 4,533.32 and 970.38

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Solution

The fourth proportional to 3,022.86, 4,533.32 and 970.38 is: 1,455.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022.86 : 4,533.32 = 970.38 : x
  2. Step 2: Convert to fraction form
    3,022.86/4,533.32 = 970.38/x
  3. Step 3: Cross multiply
    3,022.86x = 4,533.32 × 970.38
  4. Step 4: Simplify right side
    3,022.86x = 4,399,020.40
  5. Step 5: Solve for x
    x = 4,399,020.40/3,022.86
  6. Step 6: Final answer
    x = 1,455.25

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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.