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Finding the Fourth Proportional to 2,378.39, 3,564.48 and 1,280.39

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Solution

The fourth proportional to 2,378.39, 3,564.48 and 1,280.39 is: 1,918.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.39 : 3,564.48 = 1,280.39 : x
  2. Step 2: Convert to fraction form
    2,378.39/3,564.48 = 1,280.39/x
  3. Step 3: Cross multiply
    2,378.39x = 3,564.48 × 1,280.39
  4. Step 4: Simplify right side
    2,378.39x = 4,563,924.55
  5. Step 5: Solve for x
    x = 4,563,924.55/2,378.39
  6. Step 6: Final answer
    x = 1,918.91

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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.