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Finding the Fourth Proportional to 3,036.24, 4,554.45 and 845.06

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Solution

The fourth proportional to 3,036.24, 4,554.45 and 845.06 is: 1,267.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,036.24 : 4,554.45 = 845.06 : x
  2. Step 2: Convert to fraction form
    3,036.24/4,554.45 = 845.06/x
  3. Step 3: Cross multiply
    3,036.24x = 4,554.45 × 845.06
  4. Step 4: Simplify right side
    3,036.24x = 3,848,760.74
  5. Step 5: Solve for x
    x = 3,848,760.74/3,036.24
  6. Step 6: Final answer
    x = 1,267.61

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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.