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Finding the Fourth Proportional to 2,596.96, 3,583.78 and 1,418

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Solution

The fourth proportional to 2,596.96, 3,583.78 and 1,418 is: 1,956.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.96 : 3,583.78 = 1,418 : x
  2. Step 2: Convert to fraction form
    2,596.96/3,583.78 = 1,418/x
  3. Step 3: Cross multiply
    2,596.96x = 3,583.78 × 1,418
  4. Step 4: Simplify right side
    2,596.96x = 5,081,792.95
  5. Step 5: Solve for x
    x = 5,081,792.95/2,596.96
  6. Step 6: Final answer
    x = 1,956.83

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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.