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Finding the Fourth Proportional to 2,765.58, 4,147.34 and 1,010.00

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Solution

The fourth proportional to 2,765.58, 4,147.34 and 1,010.00 is: 1,514.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.58 : 4,147.34 = 1,010.00 : x
  2. Step 2: Convert to fraction form
    2,765.58/4,147.34 = 1,010.00/x
  3. Step 3: Cross multiply
    2,765.58x = 4,147.34 × 1,010.00
  4. Step 4: Simplify right side
    2,765.58x = 4,188,818.72
  5. Step 5: Solve for x
    x = 4,188,818.72/2,765.58
  6. Step 6: Final answer
    x = 1,514.63

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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.