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Finding the Fourth Proportional to 2,048.02, 2,826.47 and 1,208.99

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Solution

The fourth proportional to 2,048.02, 2,826.47 and 1,208.99 is: 1,668.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.02 : 2,826.47 = 1,208.99 : x
  2. Step 2: Convert to fraction form
    2,048.02/2,826.47 = 1,208.99/x
  3. Step 3: Cross multiply
    2,048.02x = 2,826.47 × 1,208.99
  4. Step 4: Simplify right side
    2,048.02x = 3,417,184.05
  5. Step 5: Solve for x
    x = 3,417,184.05/2,048.02
  6. Step 6: Final answer
    x = 1,668.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.