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Finding the Fourth Proportional to 2,326.69, 3,490.03 and 595.31

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Solution

The fourth proportional to 2,326.69, 3,490.03 and 595.31 is: 892.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.69 : 3,490.03 = 595.31 : x
  2. Step 2: Convert to fraction form
    2,326.69/3,490.03 = 595.31/x
  3. Step 3: Cross multiply
    2,326.69x = 3,490.03 × 595.31
  4. Step 4: Simplify right side
    2,326.69x = 2,077,649.76
  5. Step 5: Solve for x
    x = 2,077,649.76/2,326.69
  6. Step 6: Final answer
    x = 892.96

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