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Finding the Fourth Proportional to 3,046.40, 4,569.62 and 855.17

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Solution

The fourth proportional to 3,046.40, 4,569.62 and 855.17 is: 1,282.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.40 : 4,569.62 = 855.17 : x
  2. Step 2: Convert to fraction form
    3,046.40/4,569.62 = 855.17/x
  3. Step 3: Cross multiply
    3,046.40x = 4,569.62 × 855.17
  4. Step 4: Simplify right side
    3,046.40x = 3,907,774.81
  5. Step 5: Solve for x
    x = 3,907,774.81/3,046.40
  6. Step 6: Final answer
    x = 1,282.75

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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.