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Finding the Fourth Proportional to 2,326.98, 3,490.49 and 595.61

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Solution

The fourth proportional to 2,326.98, 3,490.49 and 595.61 is: 893.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.98 : 3,490.49 = 595.61 : x
  2. Step 2: Convert to fraction form
    2,326.98/3,490.49 = 595.61/x
  3. Step 3: Cross multiply
    2,326.98x = 3,490.49 × 595.61
  4. Step 4: Simplify right side
    2,326.98x = 2,078,967.87
  5. Step 5: Solve for x
    x = 2,078,967.87/2,326.98
  6. Step 6: Final answer
    x = 893.42

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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.