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Finding the Fourth Proportional to 2,742.42, 4,113.71 and 893.55

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Solution

The fourth proportional to 2,742.42, 4,113.71 and 893.55 is: 1,340.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.42 : 4,113.71 = 893.55 : x
  2. Step 2: Convert to fraction form
    2,742.42/4,113.71 = 893.55/x
  3. Step 3: Cross multiply
    2,742.42x = 4,113.71 × 893.55
  4. Step 4: Simplify right side
    2,742.42x = 3,675,805.57
  5. Step 5: Solve for x
    x = 3,675,805.57/2,742.42
  6. Step 6: Final answer
    x = 1,340.35

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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.