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Finding the Fourth Proportional to 1,433.17, 2,147.05 and 846.42

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Solution

The fourth proportional to 1,433.17, 2,147.05 and 846.42 is: 1,268.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.17 : 2,147.05 = 846.42 : x
  2. Step 2: Convert to fraction form
    1,433.17/2,147.05 = 846.42/x
  3. Step 3: Cross multiply
    1,433.17x = 2,147.05 × 846.42
  4. Step 4: Simplify right side
    1,433.17x = 1,817,306.06
  5. Step 5: Solve for x
    x = 1,817,306.06/1,433.17
  6. Step 6: Final answer
    x = 1,268.03

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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.