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Finding the Fourth Proportional to 2,156.89, 2,975.38 and 1,632.01

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Solution

The fourth proportional to 2,156.89, 2,975.38 and 1,632.01 is: 2,251.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.89 : 2,975.38 = 1,632.01 : x
  2. Step 2: Convert to fraction form
    2,156.89/2,975.38 = 1,632.01/x
  3. Step 3: Cross multiply
    2,156.89x = 2,975.38 × 1,632.01
  4. Step 4: Simplify right side
    2,156.89x = 4,855,849.91
  5. Step 5: Solve for x
    x = 4,855,849.91/2,156.89
  6. Step 6: Final answer
    x = 2,251.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.