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Finding the Fourth Proportional to 2,049.54, 2,828.73 and 1,210.19

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Solution

The fourth proportional to 2,049.54, 2,828.73 and 1,210.19 is: 1,670.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.54 : 2,828.73 = 1,210.19 : x
  2. Step 2: Convert to fraction form
    2,049.54/2,828.73 = 1,210.19/x
  3. Step 3: Cross multiply
    2,049.54x = 2,828.73 × 1,210.19
  4. Step 4: Simplify right side
    2,049.54x = 3,423,294.95
  5. Step 5: Solve for x
    x = 3,423,294.95/2,049.54
  6. Step 6: Final answer
    x = 1,670.27

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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.