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Finding the Fourth Proportional to 2,199.81, 3,035.74 and 1,205.07

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Solution

The fourth proportional to 2,199.81, 3,035.74 and 1,205.07 is: 1,663.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.81 : 3,035.74 = 1,205.07 : x
  2. Step 2: Convert to fraction form
    2,199.81/3,035.74 = 1,205.07/x
  3. Step 3: Cross multiply
    2,199.81x = 3,035.74 × 1,205.07
  4. Step 4: Simplify right side
    2,199.81x = 3,658,287.51
  5. Step 5: Solve for x
    x = 3,658,287.51/2,199.81
  6. Step 6: Final answer
    x = 1,663.00

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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.