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Finding the Fourth Proportional to 3,045.17, 4,567.84 and 1,196.75

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Solution

The fourth proportional to 3,045.17, 4,567.84 and 1,196.75 is: 1,795.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,045.17 : 4,567.84 = 1,196.75 : x
  2. Step 2: Convert to fraction form
    3,045.17/4,567.84 = 1,196.75/x
  3. Step 3: Cross multiply
    3,045.17x = 4,567.84 × 1,196.75
  4. Step 4: Simplify right side
    3,045.17x = 5,466,536.69
  5. Step 5: Solve for x
    x = 5,466,536.69/3,045.17
  6. Step 6: Final answer
    x = 1,795.15

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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.