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Finding the Fourth Proportional to 1,928.72, 2,657.46 and 1,485.80

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Solution

The fourth proportional to 1,928.72, 2,657.46 and 1,485.80 is: 2,047.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.72 : 2,657.46 = 1,485.80 : x
  2. Step 2: Convert to fraction form
    1,928.72/2,657.46 = 1,485.80/x
  3. Step 3: Cross multiply
    1,928.72x = 2,657.46 × 1,485.80
  4. Step 4: Simplify right side
    1,928.72x = 3,948,454.07
  5. Step 5: Solve for x
    x = 3,948,454.07/1,928.72
  6. Step 6: Final answer
    x = 2,047.19

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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.