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Finding the Fourth Proportional to 1,765.69, 2,648.53 and 611.44

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Solution

The fourth proportional to 1,765.69, 2,648.53 and 611.44 is: 917.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.69 : 2,648.53 = 611.44 : x
  2. Step 2: Convert to fraction form
    1,765.69/2,648.53 = 611.44/x
  3. Step 3: Cross multiply
    1,765.69x = 2,648.53 × 611.44
  4. Step 4: Simplify right side
    1,765.69x = 1,619,411.33
  5. Step 5: Solve for x
    x = 1,619,411.33/1,765.69
  6. Step 6: Final answer
    x = 917.16

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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.