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Finding the Fourth Proportional to 1,775.60, 2,450.08 and 1,029.62

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Solution

The fourth proportional to 1,775.60, 2,450.08 and 1,029.62 is: 1,420.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775.60 : 2,450.08 = 1,029.62 : x
  2. Step 2: Convert to fraction form
    1,775.60/2,450.08 = 1,029.62/x
  3. Step 3: Cross multiply
    1,775.60x = 2,450.08 × 1,029.62
  4. Step 4: Simplify right side
    1,775.60x = 2,522,651.37
  5. Step 5: Solve for x
    x = 2,522,651.37/1,775.60
  6. Step 6: Final answer
    x = 1,420.73

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1.5x scale

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.