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Finding the Fourth Proportional to 2,048.37, 3,070.26 and 815.45

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Solution

The fourth proportional to 2,048.37, 3,070.26 and 815.45 is: 1,222.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.37 : 3,070.26 = 815.45 : x
  2. Step 2: Convert to fraction form
    2,048.37/3,070.26 = 815.45/x
  3. Step 3: Cross multiply
    2,048.37x = 3,070.26 × 815.45
  4. Step 4: Simplify right side
    2,048.37x = 2,503,628.17
  5. Step 5: Solve for x
    x = 2,503,628.17/2,048.37
  6. Step 6: Final answer
    x = 1,222.25

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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.