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Finding the Fourth Proportional to 2,165.38, 2,988.22 and 1,234.06

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Solution

The fourth proportional to 2,165.38, 2,988.22 and 1,234.06 is: 1,703.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.38 : 2,988.22 = 1,234.06 : x
  2. Step 2: Convert to fraction form
    2,165.38/2,988.22 = 1,234.06/x
  3. Step 3: Cross multiply
    2,165.38x = 2,988.22 × 1,234.06
  4. Step 4: Simplify right side
    2,165.38x = 3,687,642.77
  5. Step 5: Solve for x
    x = 3,687,642.77/2,165.38
  6. Step 6: Final answer
    x = 1,703.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.