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Finding the Fourth Proportional to 1,426.78, 2,137.02 and 877.32

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Solution

The fourth proportional to 1,426.78, 2,137.02 and 877.32 is: 1,314.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.78 : 2,137.02 = 877.32 : x
  2. Step 2: Convert to fraction form
    1,426.78/2,137.02 = 877.32/x
  3. Step 3: Cross multiply
    1,426.78x = 2,137.02 × 877.32
  4. Step 4: Simplify right side
    1,426.78x = 1,874,850.39
  5. Step 5: Solve for x
    x = 1,874,850.39/1,426.78
  6. Step 6: Final answer
    x = 1,314.04

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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.