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Finding the Fourth Proportional to 2,030.60, 2,805.24 and 1,892.30

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Solution

The fourth proportional to 2,030.60, 2,805.24 and 1,892.30 is: 2,614.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.60 : 2,805.24 = 1,892.30 : x
  2. Step 2: Convert to fraction form
    2,030.60/2,805.24 = 1,892.30/x
  3. Step 3: Cross multiply
    2,030.60x = 2,805.24 × 1,892.30
  4. Step 4: Simplify right side
    2,030.60x = 5,308,355.65
  5. Step 5: Solve for x
    x = 5,308,355.65/2,030.60
  6. Step 6: Final answer
    x = 2,614.18

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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.