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Finding the Fourth Proportional to 2,049.79, 2,828.01 and 1,210.54

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Solution

The fourth proportional to 2,049.79, 2,828.01 and 1,210.54 is: 1,670.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.79 : 2,828.01 = 1,210.54 : x
  2. Step 2: Convert to fraction form
    2,049.79/2,828.01 = 1,210.54/x
  3. Step 3: Cross multiply
    2,049.79x = 2,828.01 × 1,210.54
  4. Step 4: Simplify right side
    2,049.79x = 3,423,419.23
  5. Step 5: Solve for x
    x = 3,423,419.23/2,049.79
  6. Step 6: Final answer
    x = 1,670.13

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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.