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Finding the Fourth Proportional to 3,090.94, 4,265.49 and 1,693.66

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Solution

The fourth proportional to 3,090.94, 4,265.49 and 1,693.66 is: 2,337.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,090.94 : 4,265.49 = 1,693.66 : x
  2. Step 2: Convert to fraction form
    3,090.94/4,265.49 = 1,693.66/x
  3. Step 3: Cross multiply
    3,090.94x = 4,265.49 × 1,693.66
  4. Step 4: Simplify right side
    3,090.94x = 7,224,285.48
  5. Step 5: Solve for x
    x = 7,224,285.48/3,090.94
  6. Step 6: Final answer
    x = 2,337.25

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