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Finding the Fourth Proportional to 1,784.82, 2,464.26 and 1,112.89

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Solution

The fourth proportional to 1,784.82, 2,464.26 and 1,112.89 is: 1,536.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.82 : 2,464.26 = 1,112.89 : x
  2. Step 2: Convert to fraction form
    1,784.82/2,464.26 = 1,112.89/x
  3. Step 3: Cross multiply
    1,784.82x = 2,464.26 × 1,112.89
  4. Step 4: Simplify right side
    1,784.82x = 2,742,432.43
  5. Step 5: Solve for x
    x = 2,742,432.43/1,784.82
  6. Step 6: Final answer
    x = 1,536.53

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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.