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Finding the Fourth Proportional to 1,445.59, 1,993.69 and 941.57

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Solution

The fourth proportional to 1,445.59, 1,993.69 and 941.57 is: 1,298.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.59 : 1,993.69 = 941.57 : x
  2. Step 2: Convert to fraction form
    1,445.59/1,993.69 = 941.57/x
  3. Step 3: Cross multiply
    1,445.59x = 1,993.69 × 941.57
  4. Step 4: Simplify right side
    1,445.59x = 1,877,198.69
  5. Step 5: Solve for x
    x = 1,877,198.69/1,445.59
  6. Step 6: Final answer
    x = 1,298.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.