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Finding the Fourth Proportional to 2,725.36, 4,088.32 and 777.60

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Solution

The fourth proportional to 2,725.36, 4,088.32 and 777.60 is: 1,166.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.36 : 4,088.32 = 777.60 : x
  2. Step 2: Convert to fraction form
    2,725.36/4,088.32 = 777.60/x
  3. Step 3: Cross multiply
    2,725.36x = 4,088.32 × 777.60
  4. Step 4: Simplify right side
    2,725.36x = 3,179,077.63
  5. Step 5: Solve for x
    x = 3,179,077.63/2,725.36
  6. Step 6: Final answer
    x = 1,166.48

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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.