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Finding the Fourth Proportional to 2,157.20, 3,233.70 and 924.92

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Solution

The fourth proportional to 2,157.20, 3,233.70 and 924.92 is: 1,386.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.20 : 3,233.70 = 924.92 : x
  2. Step 2: Convert to fraction form
    2,157.20/3,233.70 = 924.92/x
  3. Step 3: Cross multiply
    2,157.20x = 3,233.70 × 924.92
  4. Step 4: Simplify right side
    2,157.20x = 2,990,913.80
  5. Step 5: Solve for x
    x = 2,990,913.80/2,157.20
  6. Step 6: Final answer
    x = 1,386.48

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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.