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Finding the Fourth Proportional to 2,122.30, 2,927.73 and 1,842.16

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Solution

The fourth proportional to 2,122.30, 2,927.73 and 1,842.16 is: 2,541.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.30 : 2,927.73 = 1,842.16 : x
  2. Step 2: Convert to fraction form
    2,122.30/2,927.73 = 1,842.16/x
  3. Step 3: Cross multiply
    2,122.30x = 2,927.73 × 1,842.16
  4. Step 4: Simplify right side
    2,122.30x = 5,393,347.10
  5. Step 5: Solve for x
    x = 5,393,347.10/2,122.30
  6. Step 6: Final answer
    x = 2,541.27

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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.