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Finding the Fourth Proportional to 2,940.40, 4,057.49 and 1,681.21

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Solution

The fourth proportional to 2,940.40, 4,057.49 and 1,681.21 is: 2,319.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940.40 : 4,057.49 = 1,681.21 : x
  2. Step 2: Convert to fraction form
    2,940.40/4,057.49 = 1,681.21/x
  3. Step 3: Cross multiply
    2,940.40x = 4,057.49 × 1,681.21
  4. Step 4: Simplify right side
    2,940.40x = 6,821,492.76
  5. Step 5: Solve for x
    x = 6,821,492.76/2,940.40
  6. Step 6: Final answer
    x = 2,319.92

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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.