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Finding the Fourth Proportional to 2,434.60, 3,651.90 and 1,948.60

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Solution

The fourth proportional to 2,434.60, 3,651.90 and 1,948.60 is: 2,922.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,434.60 : 3,651.90 = 1,948.60 : x
  2. Step 2: Convert to fraction form
    2,434.60/3,651.90 = 1,948.60/x
  3. Step 3: Cross multiply
    2,434.60x = 3,651.90 × 1,948.60
  4. Step 4: Simplify right side
    2,434.60x = 7,116,092.34
  5. Step 5: Solve for x
    x = 7,116,092.34/2,434.60
  6. Step 6: Final answer
    x = 2,922.90

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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.