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Finding the Fourth Proportional to 2,578.64, 3,866.60 and 1,278.50

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Solution

The fourth proportional to 2,578.64, 3,866.60 and 1,278.50 is: 1,917.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.64 : 3,866.60 = 1,278.50 : x
  2. Step 2: Convert to fraction form
    2,578.64/3,866.60 = 1,278.50/x
  3. Step 3: Cross multiply
    2,578.64x = 3,866.60 × 1,278.50
  4. Step 4: Simplify right side
    2,578.64x = 4,943,448.10
  5. Step 5: Solve for x
    x = 4,943,448.10/2,578.64
  6. Step 6: Final answer
    x = 1,917.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.