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Finding the Fourth Proportional to 1,821.91, 2,511.13 and 1,223.32

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Solution

The fourth proportional to 1,821.91, 2,511.13 and 1,223.32 is: 1,686.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.91 : 2,511.13 = 1,223.32 : x
  2. Step 2: Convert to fraction form
    1,821.91/2,511.13 = 1,223.32/x
  3. Step 3: Cross multiply
    1,821.91x = 2,511.13 × 1,223.32
  4. Step 4: Simplify right side
    1,821.91x = 3,071,915.55
  5. Step 5: Solve for x
    x = 3,071,915.55/1,821.91
  6. Step 6: Final answer
    x = 1,686.10

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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.