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Finding the Fourth Proportional to 3,047.65, 4,567.81 and 1,097.57

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Solution

The fourth proportional to 3,047.65, 4,567.81 and 1,097.57 is: 1,645.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.65 : 4,567.81 = 1,097.57 : x
  2. Step 2: Convert to fraction form
    3,047.65/4,567.81 = 1,097.57/x
  3. Step 3: Cross multiply
    3,047.65x = 4,567.81 × 1,097.57
  4. Step 4: Simplify right side
    3,047.65x = 5,013,491.22
  5. Step 5: Solve for x
    x = 5,013,491.22/3,047.65
  6. Step 6: Final answer
    x = 1,645.04

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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.