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Finding the Fourth Proportional to 1,765.14, 2,648.16 and 1,035.36

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Solution

The fourth proportional to 1,765.14, 2,648.16 and 1,035.36 is: 1,553.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.14 : 2,648.16 = 1,035.36 : x
  2. Step 2: Convert to fraction form
    1,765.14/2,648.16 = 1,035.36/x
  3. Step 3: Cross multiply
    1,765.14x = 2,648.16 × 1,035.36
  4. Step 4: Simplify right side
    1,765.14x = 2,741,798.94
  5. Step 5: Solve for x
    x = 2,741,798.94/1,765.14
  6. Step 6: Final answer
    x = 1,553.30

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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.