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Finding the Fourth Proportional to 2,485.46, 3,725.88 and 840.86

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Solution

The fourth proportional to 2,485.46, 3,725.88 and 840.86 is: 1,260.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,485.46 : 3,725.88 = 840.86 : x
  2. Step 2: Convert to fraction form
    2,485.46/3,725.88 = 840.86/x
  3. Step 3: Cross multiply
    2,485.46x = 3,725.88 × 840.86
  4. Step 4: Simplify right side
    2,485.46x = 3,132,935.65
  5. Step 5: Solve for x
    x = 3,132,935.65/2,485.46
  6. Step 6: Final answer
    x = 1,260.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.