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Finding the Fourth Proportional to 3,485.34, 4,809.80 and 1,913.43

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Solution

The fourth proportional to 3,485.34, 4,809.80 and 1,913.43 is: 2,640.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.34 : 4,809.80 = 1,913.43 : x
  2. Step 2: Convert to fraction form
    3,485.34/4,809.80 = 1,913.43/x
  3. Step 3: Cross multiply
    3,485.34x = 4,809.80 × 1,913.43
  4. Step 4: Simplify right side
    3,485.34x = 9,203,215.61
  5. Step 5: Solve for x
    x = 9,203,215.61/3,485.34
  6. Step 6: Final answer
    x = 2,640.55

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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.