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Finding the Fourth Proportional to 2,370.70, 3,556.97 and 983.69

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Solution

The fourth proportional to 2,370.70, 3,556.97 and 983.69 is: 1,475.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,370.70 : 3,556.97 = 983.69 : x
  2. Step 2: Convert to fraction form
    2,370.70/3,556.97 = 983.69/x
  3. Step 3: Cross multiply
    2,370.70x = 3,556.97 × 983.69
  4. Step 4: Simplify right side
    2,370.70x = 3,498,933.12
  5. Step 5: Solve for x
    x = 3,498,933.12/2,370.70
  6. Step 6: Final answer
    x = 1,475.91

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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.