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Finding the Fourth Proportional to 2,485.06, 3,725.26 and 840.45

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Solution

The fourth proportional to 2,485.06, 3,725.26 and 840.45 is: 1,259.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,485.06 : 3,725.26 = 840.45 : x
  2. Step 2: Convert to fraction form
    2,485.06/3,725.26 = 840.45/x
  3. Step 3: Cross multiply
    2,485.06x = 3,725.26 × 840.45
  4. Step 4: Simplify right side
    2,485.06x = 3,130,894.77
  5. Step 5: Solve for x
    x = 3,130,894.77/2,485.06
  6. Step 6: Final answer
    x = 1,259.89

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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.