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Finding the Fourth Proportional to 1,765.22, 2,432.51 and 1,266.26

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Solution

The fourth proportional to 1,765.22, 2,432.51 and 1,266.26 is: 1,744.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.22 : 2,432.51 = 1,266.26 : x
  2. Step 2: Convert to fraction form
    1,765.22/2,432.51 = 1,266.26/x
  3. Step 3: Cross multiply
    1,765.22x = 2,432.51 × 1,266.26
  4. Step 4: Simplify right side
    1,765.22x = 3,080,190.11
  5. Step 5: Solve for x
    x = 3,080,190.11/1,765.22
  6. Step 6: Final answer
    x = 1,744.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.