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Finding the Fourth Proportional to 2,282.96, 3,421.70 and 1,048.67

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Solution

The fourth proportional to 2,282.96, 3,421.70 and 1,048.67 is: 1,571.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.96 : 3,421.70 = 1,048.67 : x
  2. Step 2: Convert to fraction form
    2,282.96/3,421.70 = 1,048.67/x
  3. Step 3: Cross multiply
    2,282.96x = 3,421.70 × 1,048.67
  4. Step 4: Simplify right side
    2,282.96x = 3,588,211.79
  5. Step 5: Solve for x
    x = 3,588,211.79/2,282.96
  6. Step 6: Final answer
    x = 1,571.74

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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.