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Finding the Fourth Proportional to 2,326.44, 3,489.66 and 595.06

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Solution

The fourth proportional to 2,326.44, 3,489.66 and 595.06 is: 892.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.44 : 3,489.66 = 595.06 : x
  2. Step 2: Convert to fraction form
    2,326.44/3,489.66 = 595.06/x
  3. Step 3: Cross multiply
    2,326.44x = 3,489.66 × 595.06
  4. Step 4: Simplify right side
    2,326.44x = 2,076,554.10
  5. Step 5: Solve for x
    x = 2,076,554.10/2,326.44
  6. Step 6: Final answer
    x = 892.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.