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Finding the Fourth Proportional to 2,948.40, 4,066.64 and 2,040.24

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Solution

The fourth proportional to 2,948.40, 4,066.64 and 2,040.24 is: 2,814.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948.40 : 4,066.64 = 2,040.24 : x
  2. Step 2: Convert to fraction form
    2,948.40/4,066.64 = 2,040.24/x
  3. Step 3: Cross multiply
    2,948.40x = 4,066.64 × 2,040.24
  4. Step 4: Simplify right side
    2,948.40x = 8,296,921.59
  5. Step 5: Solve for x
    x = 8,296,921.59/2,948.40
  6. Step 6: Final answer
    x = 2,814.04

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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.