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Finding the Fourth Proportional to 2,188, 3,019.41 and 1,303.84

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Solution

The fourth proportional to 2,188, 3,019.41 and 1,303.84 is: 1,799.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188 : 3,019.41 = 1,303.84 : x
  2. Step 2: Convert to fraction form
    2,188/3,019.41 = 1,303.84/x
  3. Step 3: Cross multiply
    2,188x = 3,019.41 × 1,303.84
  4. Step 4: Simplify right side
    2,188x = 3,936,827.53
  5. Step 5: Solve for x
    x = 3,936,827.53/2,188
  6. Step 6: Final answer
    x = 1,799.28

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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.