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Finding the Fourth Proportional to 3,095.56, 4,644.02 and 904.49

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Solution

The fourth proportional to 3,095.56, 4,644.02 and 904.49 is: 1,356.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,095.56 : 4,644.02 = 904.49 : x
  2. Step 2: Convert to fraction form
    3,095.56/4,644.02 = 904.49/x
  3. Step 3: Cross multiply
    3,095.56x = 4,644.02 × 904.49
  4. Step 4: Simplify right side
    3,095.56x = 4,200,469.65
  5. Step 5: Solve for x
    x = 4,200,469.65/3,095.56
  6. Step 6: Final answer
    x = 1,356.93

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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.