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Finding the Fourth Proportional to 2,944.37, 4,417.07 and 970.47

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Solution

The fourth proportional to 2,944.37, 4,417.07 and 970.47 is: 1,455.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,944.37 : 4,417.07 = 970.47 : x
  2. Step 2: Convert to fraction form
    2,944.37/4,417.07 = 970.47/x
  3. Step 3: Cross multiply
    2,944.37x = 4,417.07 × 970.47
  4. Step 4: Simplify right side
    2,944.37x = 4,286,629.07
  5. Step 5: Solve for x
    x = 4,286,629.07/2,944.37
  6. Step 6: Final answer
    x = 1,455.87

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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.