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Finding the Fourth Proportional to 4,271.76, 6,407.68 and 1,193.76

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Solution

The fourth proportional to 4,271.76, 6,407.68 and 1,193.76 is: 1,790.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,271.76 : 6,407.68 = 1,193.76 : x
  2. Step 2: Convert to fraction form
    4,271.76/6,407.68 = 1,193.76/x
  3. Step 3: Cross multiply
    4,271.76x = 6,407.68 × 1,193.76
  4. Step 4: Simplify right side
    4,271.76x = 7,649,232.08
  5. Step 5: Solve for x
    x = 7,649,232.08/4,271.76
  6. Step 6: Final answer
    x = 1,790.65

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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.