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Finding the Fourth Proportional to 3,046.54, 4,567.07 and 1,097.38

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Solution

The fourth proportional to 3,046.54, 4,567.07 and 1,097.38 is: 1,645.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.54 : 4,567.07 = 1,097.38 : x
  2. Step 2: Convert to fraction form
    3,046.54/4,567.07 = 1,097.38/x
  3. Step 3: Cross multiply
    3,046.54x = 4,567.07 × 1,097.38
  4. Step 4: Simplify right side
    3,046.54x = 5,011,811.28
  5. Step 5: Solve for x
    x = 5,011,811.28/3,046.54
  6. Step 6: Final answer
    x = 1,645.08

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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.