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Finding the Fourth Proportional to 1,775.74, 2,450.50 and 1,029.94

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Solution

The fourth proportional to 1,775.74, 2,450.50 and 1,029.94 is: 1,421.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775.74 : 2,450.50 = 1,029.94 : x
  2. Step 2: Convert to fraction form
    1,775.74/2,450.50 = 1,029.94/x
  3. Step 3: Cross multiply
    1,775.74x = 2,450.50 × 1,029.94
  4. Step 4: Simplify right side
    1,775.74x = 2,523,867.97
  5. Step 5: Solve for x
    x = 2,523,867.97/1,775.74
  6. Step 6: Final answer
    x = 1,421.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.