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Finding the Fourth Proportional to 2,606.18, 3,906.02 and 1,288.51

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Solution

The fourth proportional to 2,606.18, 3,906.02 and 1,288.51 is: 1,931.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.18 : 3,906.02 = 1,288.51 : x
  2. Step 2: Convert to fraction form
    2,606.18/3,906.02 = 1,288.51/x
  3. Step 3: Cross multiply
    2,606.18x = 3,906.02 × 1,288.51
  4. Step 4: Simplify right side
    2,606.18x = 5,032,939.29
  5. Step 5: Solve for x
    x = 5,032,939.29/2,606.18
  6. Step 6: Final answer
    x = 1,931.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.