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Finding the Fourth Proportional to 1,932.58, 2,899.11 and 700.57

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Solution

The fourth proportional to 1,932.58, 2,899.11 and 700.57 is: 1,050.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,932.58 : 2,899.11 = 700.57 : x
  2. Step 2: Convert to fraction form
    1,932.58/2,899.11 = 700.57/x
  3. Step 3: Cross multiply
    1,932.58x = 2,899.11 × 700.57
  4. Step 4: Simplify right side
    1,932.58x = 2,031,029.49
  5. Step 5: Solve for x
    x = 2,031,029.49/1,932.58
  6. Step 6: Final answer
    x = 1,050.94

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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.