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Finding the Fourth Proportional to 3,036.88, 4,554.86 and 845.38

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Solution

The fourth proportional to 3,036.88, 4,554.86 and 845.38 is: 1,267.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,036.88 : 4,554.86 = 845.38 : x
  2. Step 2: Convert to fraction form
    3,036.88/4,554.86 = 845.38/x
  3. Step 3: Cross multiply
    3,036.88x = 4,554.86 × 845.38
  4. Step 4: Simplify right side
    3,036.88x = 3,850,587.55
  5. Step 5: Solve for x
    x = 3,850,587.55/3,036.88
  6. Step 6: Final answer
    x = 1,267.94

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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.