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Finding the Fourth Proportional to 1,693.08, 2,337.89 and 1,414.80

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Solution

The fourth proportional to 1,693.08, 2,337.89 and 1,414.80 is: 1,953.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.08 : 2,337.89 = 1,414.80 : x
  2. Step 2: Convert to fraction form
    1,693.08/2,337.89 = 1,414.80/x
  3. Step 3: Cross multiply
    1,693.08x = 2,337.89 × 1,414.80
  4. Step 4: Simplify right side
    1,693.08x = 3,307,639.70
  5. Step 5: Solve for x
    x = 3,307,639.70/1,693.08
  6. Step 6: Final answer
    x = 1,953.62

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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.