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Finding the Fourth Proportional to 2,271.79, 3,407.28 and 1,039.24

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Solution

The fourth proportional to 2,271.79, 3,407.28 and 1,039.24 is: 1,558.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.79 : 3,407.28 = 1,039.24 : x
  2. Step 2: Convert to fraction form
    2,271.79/3,407.28 = 1,039.24/x
  3. Step 3: Cross multiply
    2,271.79x = 3,407.28 × 1,039.24
  4. Step 4: Simplify right side
    2,271.79x = 3,540,981.67
  5. Step 5: Solve for x
    x = 3,540,981.67/2,271.79
  6. Step 6: Final answer
    x = 1,558.67

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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.