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Finding the Fourth Proportional to 1,775.44, 2,449.72 and 1,187.68

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Solution

The fourth proportional to 1,775.44, 2,449.72 and 1,187.68 is: 1,638.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775.44 : 2,449.72 = 1,187.68 : x
  2. Step 2: Convert to fraction form
    1,775.44/2,449.72 = 1,187.68/x
  3. Step 3: Cross multiply
    1,775.44x = 2,449.72 × 1,187.68
  4. Step 4: Simplify right side
    1,775.44x = 2,909,480.06
  5. Step 5: Solve for x
    x = 2,909,480.06/1,775.44
  6. Step 6: Final answer
    x = 1,638.74

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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.