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Finding the Fourth Proportional to 1,265.31, 1,746.26 and 1,166.05

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Solution

The fourth proportional to 1,265.31, 1,746.26 and 1,166.05 is: 1,609.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.31 : 1,746.26 = 1,166.05 : x
  2. Step 2: Convert to fraction form
    1,265.31/1,746.26 = 1,166.05/x
  3. Step 3: Cross multiply
    1,265.31x = 1,746.26 × 1,166.05
  4. Step 4: Simplify right side
    1,265.31x = 2,036,226.47
  5. Step 5: Solve for x
    x = 2,036,226.47/1,265.31
  6. Step 6: Final answer
    x = 1,609.27

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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.