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Finding the Fourth Proportional to 1,900.80, 2,845.80 and 1,465.20

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Solution

The fourth proportional to 1,900.80, 2,845.80 and 1,465.20 is: 2,193.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900.80 : 2,845.80 = 1,465.20 : x
  2. Step 2: Convert to fraction form
    1,900.80/2,845.80 = 1,465.20/x
  3. Step 3: Cross multiply
    1,900.80x = 2,845.80 × 1,465.20
  4. Step 4: Simplify right side
    1,900.80x = 4,169,666.16
  5. Step 5: Solve for x
    x = 4,169,666.16/1,900.80
  6. Step 6: Final answer
    x = 2,193.64

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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.