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Finding the Fourth Proportional to 3,145.77, 4,718.64 and 954.49

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Solution

The fourth proportional to 3,145.77, 4,718.64 and 954.49 is: 1,431.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.77 : 4,718.64 = 954.49 : x
  2. Step 2: Convert to fraction form
    3,145.77/4,718.64 = 954.49/x
  3. Step 3: Cross multiply
    3,145.77x = 4,718.64 × 954.49
  4. Step 4: Simplify right side
    3,145.77x = 4,503,894.69
  5. Step 5: Solve for x
    x = 4,503,894.69/3,145.77
  6. Step 6: Final answer
    x = 1,431.73

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1.5x scale

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.