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Finding the Fourth Proportional to 3,030.26, 4,544.60 and 838.49

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Solution

The fourth proportional to 3,030.26, 4,544.60 and 838.49 is: 1,257.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,030.26 : 4,544.60 = 838.49 : x
  2. Step 2: Convert to fraction form
    3,030.26/4,544.60 = 838.49/x
  3. Step 3: Cross multiply
    3,030.26x = 4,544.60 × 838.49
  4. Step 4: Simplify right side
    3,030.26x = 3,810,574.74
  5. Step 5: Solve for x
    x = 3,810,574.74/3,030.26
  6. Step 6: Final answer
    x = 1,257.51

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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.