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Finding the Fourth Proportional to 2,088.81, 2,883.06 and 1,204.97

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Solution

The fourth proportional to 2,088.81, 2,883.06 and 1,204.97 is: 1,663.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.81 : 2,883.06 = 1,204.97 : x
  2. Step 2: Convert to fraction form
    2,088.81/2,883.06 = 1,204.97/x
  3. Step 3: Cross multiply
    2,088.81x = 2,883.06 × 1,204.97
  4. Step 4: Simplify right side
    2,088.81x = 3,473,986.39
  5. Step 5: Solve for x
    x = 3,473,986.39/2,088.81
  6. Step 6: Final answer
    x = 1,663.14

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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.