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Finding the Fourth Proportional to 3,036.50, 4,554.67 and 845.14

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Solution

The fourth proportional to 3,036.50, 4,554.67 and 845.14 is: 1,267.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,036.50 : 4,554.67 = 845.14 : x
  2. Step 2: Convert to fraction form
    3,036.50/4,554.67 = 845.14/x
  3. Step 3: Cross multiply
    3,036.50x = 4,554.67 × 845.14
  4. Step 4: Simplify right side
    3,036.50x = 3,849,333.80
  5. Step 5: Solve for x
    x = 3,849,333.80/3,036.50
  6. Step 6: Final answer
    x = 1,267.69

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Why These Related Problems?

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