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Finding the Fourth Proportional to 1,836.97, 2,533.55 and 1,482.80

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Solution

The fourth proportional to 1,836.97, 2,533.55 and 1,482.80 is: 2,045.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,836.97 : 2,533.55 = 1,482.80 : x
  2. Step 2: Convert to fraction form
    1,836.97/2,533.55 = 1,482.80/x
  3. Step 3: Cross multiply
    1,836.97x = 2,533.55 × 1,482.80
  4. Step 4: Simplify right side
    1,836.97x = 3,756,727.86
  5. Step 5: Solve for x
    x = 3,756,727.86/1,836.97
  6. Step 6: Final answer
    x = 2,045.07

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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.