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Finding the Fourth Proportional to 2,135.80, 2,947.50 and 1,426.40

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Solution

The fourth proportional to 2,135.80, 2,947.50 and 1,426.40 is: 1,968.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.80 : 2,947.50 = 1,426.40 : x
  2. Step 2: Convert to fraction form
    2,135.80/2,947.50 = 1,426.40/x
  3. Step 3: Cross multiply
    2,135.80x = 2,947.50 × 1,426.40
  4. Step 4: Simplify right side
    2,135.80x = 4,204,314
  5. Step 5: Solve for x
    x = 4,204,314/2,135.80
  6. Step 6: Final answer
    x = 1,968.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.