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Finding the Fourth Proportional to 2,508.49, 3,463.05 and 1,670.32

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Solution

The fourth proportional to 2,508.49, 3,463.05 and 1,670.32 is: 2,305.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508.49 : 3,463.05 = 1,670.32 : x
  2. Step 2: Convert to fraction form
    2,508.49/3,463.05 = 1,670.32/x
  3. Step 3: Cross multiply
    2,508.49x = 3,463.05 × 1,670.32
  4. Step 4: Simplify right side
    2,508.49x = 5,784,401.68
  5. Step 5: Solve for x
    x = 5,784,401.68/2,508.49
  6. Step 6: Final answer
    x = 2,305.93

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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.