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Finding the Fourth Proportional to 1,892.89, 2,613.47 and 1,693.10

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Solution

The fourth proportional to 1,892.89, 2,613.47 and 1,693.10 is: 2,337.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.89 : 2,613.47 = 1,693.10 : x
  2. Step 2: Convert to fraction form
    1,892.89/2,613.47 = 1,693.10/x
  3. Step 3: Cross multiply
    1,892.89x = 2,613.47 × 1,693.10
  4. Step 4: Simplify right side
    1,892.89x = 4,424,864.13
  5. Step 5: Solve for x
    x = 4,424,864.13/1,892.89
  6. Step 6: Final answer
    x = 2,337.62

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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.