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Finding the Fourth Proportional to 3,176.75, 4,768.20 and 1,534.44

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Solution

The fourth proportional to 3,176.75, 4,768.20 and 1,534.44 is: 2,303.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176.75 : 4,768.20 = 1,534.44 : x
  2. Step 2: Convert to fraction form
    3,176.75/4,768.20 = 1,534.44/x
  3. Step 3: Cross multiply
    3,176.75x = 4,768.20 × 1,534.44
  4. Step 4: Simplify right side
    3,176.75x = 7,316,516.81
  5. Step 5: Solve for x
    x = 7,316,516.81/3,176.75
  6. Step 6: Final answer
    x = 2,303.15

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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.