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Finding the Fourth Proportional to 1,765.37, 2,646.26 and 1,116.53

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Solution

The fourth proportional to 1,765.37, 2,646.26 and 1,116.53 is: 1,673.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.37 : 2,646.26 = 1,116.53 : x
  2. Step 2: Convert to fraction form
    1,765.37/2,646.26 = 1,116.53/x
  3. Step 3: Cross multiply
    1,765.37x = 2,646.26 × 1,116.53
  4. Step 4: Simplify right side
    1,765.37x = 2,954,623.10
  5. Step 5: Solve for x
    x = 2,954,623.10/1,765.37
  6. Step 6: Final answer
    x = 1,673.66

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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.