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Finding the Fourth Proportional to 3,037.67, 4,556.51 and 1,738.24

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Solution

The fourth proportional to 3,037.67, 4,556.51 and 1,738.24 is: 2,607.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,037.67 : 4,556.51 = 1,738.24 : x
  2. Step 2: Convert to fraction form
    3,037.67/4,556.51 = 1,738.24/x
  3. Step 3: Cross multiply
    3,037.67x = 4,556.51 × 1,738.24
  4. Step 4: Simplify right side
    3,037.67x = 7,920,276.47
  5. Step 5: Solve for x
    x = 7,920,276.47/3,037.67
  6. Step 6: Final answer
    x = 2,607.35

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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.