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Finding the Fourth Proportional to 2,172.69, 2,998.80 and 1,386.54

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Solution

The fourth proportional to 2,172.69, 2,998.80 and 1,386.54 is: 1,913.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.69 : 2,998.80 = 1,386.54 : x
  2. Step 2: Convert to fraction form
    2,172.69/2,998.80 = 1,386.54/x
  3. Step 3: Cross multiply
    2,172.69x = 2,998.80 × 1,386.54
  4. Step 4: Simplify right side
    2,172.69x = 4,157,956.15
  5. Step 5: Solve for x
    x = 4,157,956.15/2,172.69
  6. Step 6: Final answer
    x = 1,913.74

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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.