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Finding the Fourth Proportional to 1,908.60, 2,862.90 and 1,033.80

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Solution

The fourth proportional to 1,908.60, 2,862.90 and 1,033.80 is: 1,550.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,908.60 : 2,862.90 = 1,033.80 : x
  2. Step 2: Convert to fraction form
    1,908.60/2,862.90 = 1,033.80/x
  3. Step 3: Cross multiply
    1,908.60x = 2,862.90 × 1,033.80
  4. Step 4: Simplify right side
    1,908.60x = 2,959,666.02
  5. Step 5: Solve for x
    x = 2,959,666.02/1,908.60
  6. Step 6: Final answer
    x = 1,550.70

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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.