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Finding the Fourth Proportional to 3,485.84, 4,808.82 and 2,159.06

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Solution

The fourth proportional to 3,485.84, 4,808.82 and 2,159.06 is: 2,978.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.84 : 4,808.82 = 2,159.06 : x
  2. Step 2: Convert to fraction form
    3,485.84/4,808.82 = 2,159.06/x
  3. Step 3: Cross multiply
    3,485.84x = 4,808.82 × 2,159.06
  4. Step 4: Simplify right side
    3,485.84x = 10,382,530.91
  5. Step 5: Solve for x
    x = 10,382,530.91/3,485.84
  6. Step 6: Final answer
    x = 2,978.49

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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.