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Finding the Fourth Proportional to 3,306.19, 4,959.31 and 841.01

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Solution

The fourth proportional to 3,306.19, 4,959.31 and 841.01 is: 1,261.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,306.19 : 4,959.31 = 841.01 : x
  2. Step 2: Convert to fraction form
    3,306.19/4,959.31 = 841.01/x
  3. Step 3: Cross multiply
    3,306.19x = 4,959.31 × 841.01
  4. Step 4: Simplify right side
    3,306.19x = 4,170,816.15
  5. Step 5: Solve for x
    x = 4,170,816.15/3,306.19
  6. Step 6: Final answer
    x = 1,261.52

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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.