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Finding the Fourth Proportional to 3,037.69, 4,549.17 and 1,735.21

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Solution

The fourth proportional to 3,037.69, 4,549.17 and 1,735.21 is: 2,598.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,037.69 : 4,549.17 = 1,735.21 : x
  2. Step 2: Convert to fraction form
    3,037.69/4,549.17 = 1,735.21/x
  3. Step 3: Cross multiply
    3,037.69x = 4,549.17 × 1,735.21
  4. Step 4: Simplify right side
    3,037.69x = 7,893,742.53
  5. Step 5: Solve for x
    x = 7,893,742.53/3,037.69
  6. Step 6: Final answer
    x = 2,598.60

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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.