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Finding the Fourth Proportional to 1,593.19, 2,199.62 and 1,026.28

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Solution

The fourth proportional to 1,593.19, 2,199.62 and 1,026.28 is: 1,416.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.19 : 2,199.62 = 1,026.28 : x
  2. Step 2: Convert to fraction form
    1,593.19/2,199.62 = 1,026.28/x
  3. Step 3: Cross multiply
    1,593.19x = 2,199.62 × 1,026.28
  4. Step 4: Simplify right side
    1,593.19x = 2,257,418.96
  5. Step 5: Solve for x
    x = 2,257,418.96/1,593.19
  6. Step 6: Final answer
    x = 1,416.92

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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.