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Finding the Fourth Proportional to 1,777.26, 2,453.04 and 1,187.58

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Solution

The fourth proportional to 1,777.26, 2,453.04 and 1,187.58 is: 1,639.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.26 : 2,453.04 = 1,187.58 : x
  2. Step 2: Convert to fraction form
    1,777.26/2,453.04 = 1,187.58/x
  3. Step 3: Cross multiply
    1,777.26x = 2,453.04 × 1,187.58
  4. Step 4: Simplify right side
    1,777.26x = 2,913,181.24
  5. Step 5: Solve for x
    x = 2,913,181.24/1,777.26
  6. Step 6: Final answer
    x = 1,639.14

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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.