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Finding the Fourth Proportional to 2,627.35, 3,940.58 and 983.45

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Solution

The fourth proportional to 2,627.35, 3,940.58 and 983.45 is: 1,475.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627.35 : 3,940.58 = 983.45 : x
  2. Step 2: Convert to fraction form
    2,627.35/3,940.58 = 983.45/x
  3. Step 3: Cross multiply
    2,627.35x = 3,940.58 × 983.45
  4. Step 4: Simplify right side
    2,627.35x = 3,875,375.71
  5. Step 5: Solve for x
    x = 3,875,375.71/2,627.35
  6. Step 6: Final answer
    x = 1,475.01

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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.