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Finding the Fourth Proportional to 2,165.81, 2,988.89 and 1,234.25

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Solution

The fourth proportional to 2,165.81, 2,988.89 and 1,234.25 is: 1,703.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.81 : 2,988.89 = 1,234.25 : x
  2. Step 2: Convert to fraction form
    2,165.81/2,988.89 = 1,234.25/x
  3. Step 3: Cross multiply
    2,165.81x = 2,988.89 × 1,234.25
  4. Step 4: Simplify right side
    2,165.81x = 3,689,031.31
  5. Step 5: Solve for x
    x = 3,689,031.31/2,165.81
  6. Step 6: Final answer
    x = 1,703.30

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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.