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Finding the Fourth Proportional to 2,678.30, 4,017.45 and 2,405.60

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Solution

The fourth proportional to 2,678.30, 4,017.45 and 2,405.60 is: 3,608.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.30 : 4,017.45 = 2,405.60 : x
  2. Step 2: Convert to fraction form
    2,678.30/4,017.45 = 2,405.60/x
  3. Step 3: Cross multiply
    2,678.30x = 4,017.45 × 2,405.60
  4. Step 4: Simplify right side
    2,678.30x = 9,664,377.72
  5. Step 5: Solve for x
    x = 9,664,377.72/2,678.30
  6. Step 6: Final answer
    x = 3,608.40

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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.