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Finding the Fourth Proportional to 2,285.76, 3,146.72 and 2,181.28

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Solution

The fourth proportional to 2,285.76, 3,146.72 and 2,181.28 is: 3,002.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.76 : 3,146.72 = 2,181.28 : x
  2. Step 2: Convert to fraction form
    2,285.76/3,146.72 = 2,181.28/x
  3. Step 3: Cross multiply
    2,285.76x = 3,146.72 × 2,181.28
  4. Step 4: Simplify right side
    2,285.76x = 6,863,877.40
  5. Step 5: Solve for x
    x = 6,863,877.40/2,285.76
  6. Step 6: Final answer
    x = 3,002.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.