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Finding the Fourth Proportional to 3,090.99, 4,265.60 and 1,764.77

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Solution

The fourth proportional to 3,090.99, 4,265.60 and 1,764.77 is: 2,435.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,090.99 : 4,265.60 = 1,764.77 : x
  2. Step 2: Convert to fraction form
    3,090.99/4,265.60 = 1,764.77/x
  3. Step 3: Cross multiply
    3,090.99x = 4,265.60 × 1,764.77
  4. Step 4: Simplify right side
    3,090.99x = 7,527,772.76
  5. Step 5: Solve for x
    x = 7,527,772.76/3,090.99
  6. Step 6: Final answer
    x = 2,435.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.