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Finding the Fourth Proportional to 1,803.06, 2,488.95 and 1,361.07

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Solution

The fourth proportional to 1,803.06, 2,488.95 and 1,361.07 is: 1,878.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,803.06 : 2,488.95 = 1,361.07 : x
  2. Step 2: Convert to fraction form
    1,803.06/2,488.95 = 1,361.07/x
  3. Step 3: Cross multiply
    1,803.06x = 2,488.95 × 1,361.07
  4. Step 4: Simplify right side
    1,803.06x = 3,387,635.18
  5. Step 5: Solve for x
    x = 3,387,635.18/1,803.06
  6. Step 6: Final answer
    x = 1,878.83

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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.