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Finding the Fourth Proportional to 2,970.77, 4,456.77 and 890.69

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Solution

The fourth proportional to 2,970.77, 4,456.77 and 890.69 is: 1,336.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.77 : 4,456.77 = 890.69 : x
  2. Step 2: Convert to fraction form
    2,970.77/4,456.77 = 890.69/x
  3. Step 3: Cross multiply
    2,970.77x = 4,456.77 × 890.69
  4. Step 4: Simplify right side
    2,970.77x = 3,969,600.47
  5. Step 5: Solve for x
    x = 3,969,600.47/2,970.77
  6. Step 6: Final answer
    x = 1,336.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.