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Finding the Fourth Proportional to 3,145.46, 4,718.44 and 954.38

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Solution

The fourth proportional to 3,145.46, 4,718.44 and 954.38 is: 1,431.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.46 : 4,718.44 = 954.38 : x
  2. Step 2: Convert to fraction form
    3,145.46/4,718.44 = 954.38/x
  3. Step 3: Cross multiply
    3,145.46x = 4,718.44 × 954.38
  4. Step 4: Simplify right side
    3,145.46x = 4,503,184.77
  5. Step 5: Solve for x
    x = 4,503,184.77/3,145.46
  6. Step 6: Final answer
    x = 1,431.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.