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Finding the Fourth Proportional to 1,764.32, 2,435.13 and 1,166.91

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Solution

The fourth proportional to 1,764.32, 2,435.13 and 1,166.91 is: 1,610.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.32 : 2,435.13 = 1,166.91 : x
  2. Step 2: Convert to fraction form
    1,764.32/2,435.13 = 1,166.91/x
  3. Step 3: Cross multiply
    1,764.32x = 2,435.13 × 1,166.91
  4. Step 4: Simplify right side
    1,764.32x = 2,841,577.55
  5. Step 5: Solve for x
    x = 2,841,577.55/1,764.32
  6. Step 6: Final answer
    x = 1,610.58

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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.