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Finding the Fourth Proportional to 2,157.38, 2,975.96 and 1,411.16

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Solution

The fourth proportional to 2,157.38, 2,975.96 and 1,411.16 is: 1,946.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.38 : 2,975.96 = 1,411.16 : x
  2. Step 2: Convert to fraction form
    2,157.38/2,975.96 = 1,411.16/x
  3. Step 3: Cross multiply
    2,157.38x = 2,975.96 × 1,411.16
  4. Step 4: Simplify right side
    2,157.38x = 4,199,566.68
  5. Step 5: Solve for x
    x = 4,199,566.68/2,157.38
  6. Step 6: Final answer
    x = 1,946.61

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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.