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Finding the Fourth Proportional to 2,132.69, 3,199.47 and 900.10

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Solution

The fourth proportional to 2,132.69, 3,199.47 and 900.10 is: 1,350.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.69 : 3,199.47 = 900.10 : x
  2. Step 2: Convert to fraction form
    2,132.69/3,199.47 = 900.10/x
  3. Step 3: Cross multiply
    2,132.69x = 3,199.47 × 900.10
  4. Step 4: Simplify right side
    2,132.69x = 2,879,842.95
  5. Step 5: Solve for x
    x = 2,879,842.95/2,132.69
  6. Step 6: Final answer
    x = 1,350.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.