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Finding the Fourth Proportional to 2,742.60, 4,114.48 and 893.82

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Solution

The fourth proportional to 2,742.60, 4,114.48 and 893.82 is: 1,340.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.60 : 4,114.48 = 893.82 : x
  2. Step 2: Convert to fraction form
    2,742.60/4,114.48 = 893.82/x
  3. Step 3: Cross multiply
    2,742.60x = 4,114.48 × 893.82
  4. Step 4: Simplify right side
    2,742.60x = 3,677,604.51
  5. Step 5: Solve for x
    x = 3,677,604.51/2,742.60
  6. Step 6: Final answer
    x = 1,340.92

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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.