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Finding the Fourth Proportional to 1,821.57, 2,513.99 and 1,764.17

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Solution

The fourth proportional to 1,821.57, 2,513.99 and 1,764.17 is: 2,434.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.57 : 2,513.99 = 1,764.17 : x
  2. Step 2: Convert to fraction form
    1,821.57/2,513.99 = 1,764.17/x
  3. Step 3: Cross multiply
    1,821.57x = 2,513.99 × 1,764.17
  4. Step 4: Simplify right side
    1,821.57x = 4,435,084.35
  5. Step 5: Solve for x
    x = 4,435,084.35/1,821.57
  6. Step 6: Final answer
    x = 2,434.76

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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.