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Finding the Fourth Proportional to 3,042.66, 4,564.76 and 851.40

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Solution

The fourth proportional to 3,042.66, 4,564.76 and 851.40 is: 1,277.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042.66 : 4,564.76 = 851.40 : x
  2. Step 2: Convert to fraction form
    3,042.66/4,564.76 = 851.40/x
  3. Step 3: Cross multiply
    3,042.66x = 4,564.76 × 851.40
  4. Step 4: Simplify right side
    3,042.66x = 3,886,436.66
  5. Step 5: Solve for x
    x = 3,886,436.66/3,042.66
  6. Step 6: Final answer
    x = 1,277.32

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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.