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Finding the Fourth Proportional to 1,421.62, 2,132.02 and 900.83

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Solution

The fourth proportional to 1,421.62, 2,132.02 and 900.83 is: 1,350.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.62 : 2,132.02 = 900.83 : x
  2. Step 2: Convert to fraction form
    1,421.62/2,132.02 = 900.83/x
  3. Step 3: Cross multiply
    1,421.62x = 2,132.02 × 900.83
  4. Step 4: Simplify right side
    1,421.62x = 1,920,585.32
  5. Step 5: Solve for x
    x = 1,920,585.32/1,421.62
  6. Step 6: Final answer
    x = 1,350.99

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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.