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Finding the Fourth Proportional to 1,593.34, 2,196.74 and 1,032.82

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Solution

The fourth proportional to 1,593.34, 2,196.74 and 1,032.82 is: 1,423.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.34 : 2,196.74 = 1,032.82 : x
  2. Step 2: Convert to fraction form
    1,593.34/2,196.74 = 1,032.82/x
  3. Step 3: Cross multiply
    1,593.34x = 2,196.74 × 1,032.82
  4. Step 4: Simplify right side
    1,593.34x = 2,268,837.01
  5. Step 5: Solve for x
    x = 2,268,837.01/1,593.34
  6. Step 6: Final answer
    x = 1,423.95

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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.