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Finding the Fourth Proportional to 2,173.14, 2,998.98 and 1,388.64

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Solution

The fourth proportional to 2,173.14, 2,998.98 and 1,388.64 is: 1,916.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.14 : 2,998.98 = 1,388.64 : x
  2. Step 2: Convert to fraction form
    2,173.14/2,998.98 = 1,388.64/x
  3. Step 3: Cross multiply
    2,173.14x = 2,998.98 × 1,388.64
  4. Step 4: Simplify right side
    2,173.14x = 4,164,503.59
  5. Step 5: Solve for x
    x = 4,164,503.59/2,173.14
  6. Step 6: Final answer
    x = 1,916.35

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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.