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Finding the Fourth Proportional to 2,640.42, 3,957.36 and 995.58

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Solution

The fourth proportional to 2,640.42, 3,957.36 and 995.58 is: 1,492.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.42 : 3,957.36 = 995.58 : x
  2. Step 2: Convert to fraction form
    2,640.42/3,957.36 = 995.58/x
  3. Step 3: Cross multiply
    2,640.42x = 3,957.36 × 995.58
  4. Step 4: Simplify right side
    2,640.42x = 3,939,868.47
  5. Step 5: Solve for x
    x = 3,939,868.47/2,640.42
  6. Step 6: Final answer
    x = 1,492.14

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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.