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Finding the Fourth Proportional to 1,433.54, 2,149.68 and 740.60

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Solution

The fourth proportional to 1,433.54, 2,149.68 and 740.60 is: 1,110.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.54 : 2,149.68 = 740.60 : x
  2. Step 2: Convert to fraction form
    1,433.54/2,149.68 = 740.60/x
  3. Step 3: Cross multiply
    1,433.54x = 2,149.68 × 740.60
  4. Step 4: Simplify right side
    1,433.54x = 1,592,053.01
  5. Step 5: Solve for x
    x = 1,592,053.01/1,433.54
  6. Step 6: Final answer
    x = 1,110.57

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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.