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Finding the Fourth Proportional to 2,398.35, 3,310.70 and 1,514.64

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Solution

The fourth proportional to 2,398.35, 3,310.70 and 1,514.64 is: 2,090.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.35 : 3,310.70 = 1,514.64 : x
  2. Step 2: Convert to fraction form
    2,398.35/3,310.70 = 1,514.64/x
  3. Step 3: Cross multiply
    2,398.35x = 3,310.70 × 1,514.64
  4. Step 4: Simplify right side
    2,398.35x = 5,014,511.07
  5. Step 5: Solve for x
    x = 5,014,511.07/2,398.35
  6. Step 6: Final answer
    x = 2,090.82

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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.