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Finding the Fourth Proportional to 3,062.94, 4,594.74 and 982.20

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Solution

The fourth proportional to 3,062.94, 4,594.74 and 982.20 is: 1,473.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,062.94 : 4,594.74 = 982.20 : x
  2. Step 2: Convert to fraction form
    3,062.94/4,594.74 = 982.20/x
  3. Step 3: Cross multiply
    3,062.94x = 4,594.74 × 982.20
  4. Step 4: Simplify right side
    3,062.94x = 4,512,953.63
  5. Step 5: Solve for x
    x = 4,512,953.63/3,062.94
  6. Step 6: Final answer
    x = 1,473.41

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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.