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Finding the Fourth Proportional to 2,285.64, 3,410.46 and 2,146.32

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Solution

The fourth proportional to 2,285.64, 3,410.46 and 2,146.32 is: 3,202.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.64 : 3,410.46 = 2,146.32 : x
  2. Step 2: Convert to fraction form
    2,285.64/3,410.46 = 2,146.32/x
  3. Step 3: Cross multiply
    2,285.64x = 3,410.46 × 2,146.32
  4. Step 4: Simplify right side
    2,285.64x = 7,319,938.51
  5. Step 5: Solve for x
    x = 7,319,938.51/2,285.64
  6. Step 6: Final answer
    x = 3,202.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.