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Finding the Fourth Proportional to 2,485.51, 3,725.94 and 840.91

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Solution

The fourth proportional to 2,485.51, 3,725.94 and 840.91 is: 1,260.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,485.51 : 3,725.94 = 840.91 : x
  2. Step 2: Convert to fraction form
    2,485.51/3,725.94 = 840.91/x
  3. Step 3: Cross multiply
    2,485.51x = 3,725.94 × 840.91
  4. Step 4: Simplify right side
    2,485.51x = 3,133,170.89
  5. Step 5: Solve for x
    x = 3,133,170.89/2,485.51
  6. Step 6: Final answer
    x = 1,260.58

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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.