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Finding the Fourth Proportional to 2,439.60, 3,658.68 and 1,953.60

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Solution

The fourth proportional to 2,439.60, 3,658.68 and 1,953.60 is: 2,929.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,439.60 : 3,658.68 = 1,953.60 : x
  2. Step 2: Convert to fraction form
    2,439.60/3,658.68 = 1,953.60/x
  3. Step 3: Cross multiply
    2,439.60x = 3,658.68 × 1,953.60
  4. Step 4: Simplify right side
    2,439.60x = 7,147,597.25
  5. Step 5: Solve for x
    x = 7,147,597.25/2,439.60
  6. Step 6: Final answer
    x = 2,929.82

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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.