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Finding the Fourth Proportional to 3,145.85, 4,719.45 and 954.75

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Solution

The fourth proportional to 3,145.85, 4,719.45 and 954.75 is: 1,432.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.85 : 4,719.45 = 954.75 : x
  2. Step 2: Convert to fraction form
    3,145.85/4,719.45 = 954.75/x
  3. Step 3: Cross multiply
    3,145.85x = 4,719.45 × 954.75
  4. Step 4: Simplify right side
    3,145.85x = 4,505,916.17
  5. Step 5: Solve for x
    x = 4,505,916.17/3,145.85
  6. Step 6: Final answer
    x = 1,432.34

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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.