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Finding the Fourth Proportional to 1,933.18, 2,899.78 and 700.59

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Solution

The fourth proportional to 1,933.18, 2,899.78 and 700.59 is: 1,050.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,933.18 : 2,899.78 = 700.59 : x
  2. Step 2: Convert to fraction form
    1,933.18/2,899.78 = 700.59/x
  3. Step 3: Cross multiply
    1,933.18x = 2,899.78 × 700.59
  4. Step 4: Simplify right side
    1,933.18x = 2,031,556.99
  5. Step 5: Solve for x
    x = 2,031,556.99/1,933.18
  6. Step 6: Final answer
    x = 1,050.89

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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.