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Finding the Fourth Proportional to 2,157.76, 2,976.08 and 1,495.72

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Solution

The fourth proportional to 2,157.76, 2,976.08 and 1,495.72 is: 2,062.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.76 : 2,976.08 = 1,495.72 : x
  2. Step 2: Convert to fraction form
    2,157.76/2,976.08 = 1,495.72/x
  3. Step 3: Cross multiply
    2,157.76x = 2,976.08 × 1,495.72
  4. Step 4: Simplify right side
    2,157.76x = 4,451,382.38
  5. Step 5: Solve for x
    x = 4,451,382.38/2,157.76
  6. Step 6: Final answer
    x = 2,062.96

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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.