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Finding the Fourth Proportional to 2,157, 2,976.84 and 1,225.68

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Solution

The fourth proportional to 2,157, 2,976.84 and 1,225.68 is: 1,691.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157 : 2,976.84 = 1,225.68 : x
  2. Step 2: Convert to fraction form
    2,157/2,976.84 = 1,225.68/x
  3. Step 3: Cross multiply
    2,157x = 2,976.84 × 1,225.68
  4. Step 4: Simplify right side
    2,157x = 3,648,653.25
  5. Step 5: Solve for x
    x = 3,648,653.25/2,157
  6. Step 6: Final answer
    x = 1,691.54

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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.