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Finding the Fourth Proportional to 1,693.61, 2,338.16 and 1,292.12

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Solution

The fourth proportional to 1,693.61, 2,338.16 and 1,292.12 is: 1,783.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.61 : 2,338.16 = 1,292.12 : x
  2. Step 2: Convert to fraction form
    1,693.61/2,338.16 = 1,292.12/x
  3. Step 3: Cross multiply
    1,693.61x = 2,338.16 × 1,292.12
  4. Step 4: Simplify right side
    1,693.61x = 3,021,165.15
  5. Step 5: Solve for x
    x = 3,021,165.15/1,693.61
  6. Step 6: Final answer
    x = 1,783.87

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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.