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Finding the Fourth Proportional to 2,978.43, 4,113 and 1,918.04

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Solution

The fourth proportional to 2,978.43, 4,113 and 1,918.04 is: 2,648.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.43 : 4,113 = 1,918.04 : x
  2. Step 2: Convert to fraction form
    2,978.43/4,113 = 1,918.04/x
  3. Step 3: Cross multiply
    2,978.43x = 4,113 × 1,918.04
  4. Step 4: Simplify right side
    2,978.43x = 7,888,877.96
  5. Step 5: Solve for x
    x = 7,888,877.96/2,978.43
  6. Step 6: Final answer
    x = 2,648.67

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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.