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Finding the Fourth Proportional to 2,081.77, 3,122.15 and 970.49

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Solution

The fourth proportional to 2,081.77, 3,122.15 and 970.49 is: 1,455.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.77 : 3,122.15 = 970.49 : x
  2. Step 2: Convert to fraction form
    2,081.77/3,122.15 = 970.49/x
  3. Step 3: Cross multiply
    2,081.77x = 3,122.15 × 970.49
  4. Step 4: Simplify right side
    2,081.77x = 3,030,018.31
  5. Step 5: Solve for x
    x = 3,030,018.31/2,081.77
  6. Step 6: Final answer
    x = 1,455.50

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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.