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Finding the Fourth Proportional to 2,497.82, 3,446.35 and 1,699.70

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Solution

The fourth proportional to 2,497.82, 3,446.35 and 1,699.70 is: 2,345.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.82 : 3,446.35 = 1,699.70 : x
  2. Step 2: Convert to fraction form
    2,497.82/3,446.35 = 1,699.70/x
  3. Step 3: Cross multiply
    2,497.82x = 3,446.35 × 1,699.70
  4. Step 4: Simplify right side
    2,497.82x = 5,857,739.61
  5. Step 5: Solve for x
    x = 5,857,739.61/2,497.82
  6. Step 6: Final answer
    x = 2,345.15

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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.