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Finding the Fourth Proportional to 2,993.60, 4,493.54 and 1,434.93

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Solution

The fourth proportional to 2,993.60, 4,493.54 and 1,434.93 is: 2,153.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.60 : 4,493.54 = 1,434.93 : x
  2. Step 2: Convert to fraction form
    2,993.60/4,493.54 = 1,434.93/x
  3. Step 3: Cross multiply
    2,993.60x = 4,493.54 × 1,434.93
  4. Step 4: Simplify right side
    2,993.60x = 6,447,902.09
  5. Step 5: Solve for x
    x = 6,447,902.09/2,993.60
  6. Step 6: Final answer
    x = 2,153.89

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Why These Related Problems?

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