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Finding the Fourth Proportional to 2,405.28, 3,609.60 and 1,310.40

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Solution

The fourth proportional to 2,405.28, 3,609.60 and 1,310.40 is: 1,966.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.28 : 3,609.60 = 1,310.40 : x
  2. Step 2: Convert to fraction form
    2,405.28/3,609.60 = 1,310.40/x
  3. Step 3: Cross multiply
    2,405.28x = 3,609.60 × 1,310.40
  4. Step 4: Simplify right side
    2,405.28x = 4,730,019.84
  5. Step 5: Solve for x
    x = 4,730,019.84/2,405.28
  6. Step 6: Final answer
    x = 1,966.52

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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.