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Finding the Fourth Proportional to 2,304.80, 3,458.16 and 1,842.08

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Solution

The fourth proportional to 2,304.80, 3,458.16 and 1,842.08 is: 2,763.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.80 : 3,458.16 = 1,842.08 : x
  2. Step 2: Convert to fraction form
    2,304.80/3,458.16 = 1,842.08/x
  3. Step 3: Cross multiply
    2,304.80x = 3,458.16 × 1,842.08
  4. Step 4: Simplify right side
    2,304.80x = 6,370,207.37
  5. Step 5: Solve for x
    x = 6,370,207.37/2,304.80
  6. Step 6: Final answer
    x = 2,763.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.