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Finding the Fourth Proportional to 3,046.63, 4,570.23 and 855.35

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Solution

The fourth proportional to 3,046.63, 4,570.23 and 855.35 is: 1,283.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.63 : 4,570.23 = 855.35 : x
  2. Step 2: Convert to fraction form
    3,046.63/4,570.23 = 855.35/x
  3. Step 3: Cross multiply
    3,046.63x = 4,570.23 × 855.35
  4. Step 4: Simplify right side
    3,046.63x = 3,909,146.23
  5. Step 5: Solve for x
    x = 3,909,146.23/3,046.63
  6. Step 6: Final answer
    x = 1,283.11

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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.