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Finding the Fourth Proportional to 2,170.69, 2,996 and 1,384.59

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Solution

The fourth proportional to 2,170.69, 2,996 and 1,384.59 is: 1,911.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.69 : 2,996 = 1,384.59 : x
  2. Step 2: Convert to fraction form
    2,170.69/2,996 = 1,384.59/x
  3. Step 3: Cross multiply
    2,170.69x = 2,996 × 1,384.59
  4. Step 4: Simplify right side
    2,170.69x = 4,148,231.64
  5. Step 5: Solve for x
    x = 4,148,231.64/2,170.69
  6. Step 6: Final answer
    x = 1,911.02

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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.