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Finding the Fourth Proportional to 2,157.13, 3,236.78 and 924.20

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Solution

The fourth proportional to 2,157.13, 3,236.78 and 924.20 is: 1,386.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.13 : 3,236.78 = 924.20 : x
  2. Step 2: Convert to fraction form
    2,157.13/3,236.78 = 924.20/x
  3. Step 3: Cross multiply
    2,157.13x = 3,236.78 × 924.20
  4. Step 4: Simplify right side
    2,157.13x = 2,991,432.08
  5. Step 5: Solve for x
    x = 2,991,432.08/2,157.13
  6. Step 6: Final answer
    x = 1,386.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.