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Finding the Fourth Proportional to 2,128.06, 2,935.29 and 1,288.18

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Solution

The fourth proportional to 2,128.06, 2,935.29 and 1,288.18 is: 1,776.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.06 : 2,935.29 = 1,288.18 : x
  2. Step 2: Convert to fraction form
    2,128.06/2,935.29 = 1,288.18/x
  3. Step 3: Cross multiply
    2,128.06x = 2,935.29 × 1,288.18
  4. Step 4: Simplify right side
    2,128.06x = 3,781,181.87
  5. Step 5: Solve for x
    x = 3,781,181.87/2,128.06
  6. Step 6: Final answer
    x = 1,776.82

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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.