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Finding the Fourth Proportional to 1,765.20, 2,647.80 and 987.60

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Solution

The fourth proportional to 1,765.20, 2,647.80 and 987.60 is: 1,481.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.20 : 2,647.80 = 987.60 : x
  2. Step 2: Convert to fraction form
    1,765.20/2,647.80 = 987.60/x
  3. Step 3: Cross multiply
    1,765.20x = 2,647.80 × 987.60
  4. Step 4: Simplify right side
    1,765.20x = 2,614,967.28
  5. Step 5: Solve for x
    x = 2,614,967.28/1,765.20
  6. Step 6: Final answer
    x = 1,481.40

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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.