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Finding the Fourth Proportional to 2,165.88, 2,988.45 and 1,369.47

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Solution

The fourth proportional to 2,165.88, 2,988.45 and 1,369.47 is: 1,889.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.88 : 2,988.45 = 1,369.47 : x
  2. Step 2: Convert to fraction form
    2,165.88/2,988.45 = 1,369.47/x
  3. Step 3: Cross multiply
    2,165.88x = 2,988.45 × 1,369.47
  4. Step 4: Simplify right side
    2,165.88x = 4,092,592.62
  5. Step 5: Solve for x
    x = 4,092,592.62/2,165.88
  6. Step 6: Final answer
    x = 1,889.57

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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.