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Finding the Fourth Proportional to 2,698.04, 3,723.90 and 1,766

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Solution

The fourth proportional to 2,698.04, 3,723.90 and 1,766 is: 2,437.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.04 : 3,723.90 = 1,766 : x
  2. Step 2: Convert to fraction form
    2,698.04/3,723.90 = 1,766/x
  3. Step 3: Cross multiply
    2,698.04x = 3,723.90 × 1,766
  4. Step 4: Simplify right side
    2,698.04x = 6,576,407.40
  5. Step 5: Solve for x
    x = 6,576,407.40/2,698.04
  6. Step 6: Final answer
    x = 2,437.48

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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.