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Finding the Fourth Proportional to 3,155.54, 4,354.66 and 1,830.03

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Solution

The fourth proportional to 3,155.54, 4,354.66 and 1,830.03 is: 2,525.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,155.54 : 4,354.66 = 1,830.03 : x
  2. Step 2: Convert to fraction form
    3,155.54/4,354.66 = 1,830.03/x
  3. Step 3: Cross multiply
    3,155.54x = 4,354.66 × 1,830.03
  4. Step 4: Simplify right side
    3,155.54x = 7,969,163.01
  5. Step 5: Solve for x
    x = 7,969,163.01/3,155.54
  6. Step 6: Final answer
    x = 2,525.45

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