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Finding the Fourth Proportional to 1,774.35, 2,449.36 and 1,111.05

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Solution

The fourth proportional to 1,774.35, 2,449.36 and 1,111.05 is: 1,533.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774.35 : 2,449.36 = 1,111.05 : x
  2. Step 2: Convert to fraction form
    1,774.35/2,449.36 = 1,111.05/x
  3. Step 3: Cross multiply
    1,774.35x = 2,449.36 × 1,111.05
  4. Step 4: Simplify right side
    1,774.35x = 2,721,361.43
  5. Step 5: Solve for x
    x = 2,721,361.43/1,774.35
  6. Step 6: Final answer
    x = 1,533.72

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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.