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Finding the Fourth Proportional to 2,426.55, 3,348.96 and 1,764.08

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Solution

The fourth proportional to 2,426.55, 3,348.96 and 1,764.08 is: 2,434.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,426.55 : 3,348.96 = 1,764.08 : x
  2. Step 2: Convert to fraction form
    2,426.55/3,348.96 = 1,764.08/x
  3. Step 3: Cross multiply
    2,426.55x = 3,348.96 × 1,764.08
  4. Step 4: Simplify right side
    2,426.55x = 5,907,816.61
  5. Step 5: Solve for x
    x = 5,907,816.61/2,426.55
  6. Step 6: Final answer
    x = 2,434.66

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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.