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Finding the Fourth Proportional to 2,152.86, 3,225.66 and 980.94

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Solution

The fourth proportional to 2,152.86, 3,225.66 and 980.94 is: 1,469.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.86 : 3,225.66 = 980.94 : x
  2. Step 2: Convert to fraction form
    2,152.86/3,225.66 = 980.94/x
  3. Step 3: Cross multiply
    2,152.86x = 3,225.66 × 980.94
  4. Step 4: Simplify right side
    2,152.86x = 3,164,178.92
  5. Step 5: Solve for x
    x = 3,164,178.92/2,152.86
  6. Step 6: Final answer
    x = 1,469.76

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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.