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Finding the Fourth Proportional to 1,908.56, 2,632.62 and 1,588.71

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Solution

The fourth proportional to 1,908.56, 2,632.62 and 1,588.71 is: 2,191.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,908.56 : 2,632.62 = 1,588.71 : x
  2. Step 2: Convert to fraction form
    1,908.56/2,632.62 = 1,588.71/x
  3. Step 3: Cross multiply
    1,908.56x = 2,632.62 × 1,588.71
  4. Step 4: Simplify right side
    1,908.56x = 4,182,461.78
  5. Step 5: Solve for x
    x = 4,182,461.78/1,908.56
  6. Step 6: Final answer
    x = 2,191.43

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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.