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Finding the Fourth Proportional to 1,578.34, 2,364.12 and 1,280.51

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Solution

The fourth proportional to 1,578.34, 2,364.12 and 1,280.51 is: 1,918.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.34 : 2,364.12 = 1,280.51 : x
  2. Step 2: Convert to fraction form
    1,578.34/2,364.12 = 1,280.51/x
  3. Step 3: Cross multiply
    1,578.34x = 2,364.12 × 1,280.51
  4. Step 4: Simplify right side
    1,578.34x = 3,027,289.64
  5. Step 5: Solve for x
    x = 3,027,289.64/1,578.34
  6. Step 6: Final answer
    x = 1,918.02

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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.