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Finding the Fourth Proportional to 2,288.36, 3,157.36 and 1,543.68

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Solution

The fourth proportional to 2,288.36, 3,157.36 and 1,543.68 is: 2,129.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.36 : 3,157.36 = 1,543.68 : x
  2. Step 2: Convert to fraction form
    2,288.36/3,157.36 = 1,543.68/x
  3. Step 3: Cross multiply
    2,288.36x = 3,157.36 × 1,543.68
  4. Step 4: Simplify right side
    2,288.36x = 4,873,953.48
  5. Step 5: Solve for x
    x = 4,873,953.48/2,288.36
  6. Step 6: Final answer
    x = 2,129.89

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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.