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Finding the Fourth Proportional to 1,738.54, 2,594.75 and 1,503.24

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Solution

The fourth proportional to 1,738.54, 2,594.75 and 1,503.24 is: 2,243.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.54 : 2,594.75 = 1,503.24 : x
  2. Step 2: Convert to fraction form
    1,738.54/2,594.75 = 1,503.24/x
  3. Step 3: Cross multiply
    1,738.54x = 2,594.75 × 1,503.24
  4. Step 4: Simplify right side
    1,738.54x = 3,900,531.99
  5. Step 5: Solve for x
    x = 3,900,531.99/1,738.54
  6. Step 6: Final answer
    x = 2,243.57

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.