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Finding the Fourth Proportional to 2,599.79, 3,898.34 and 1,283.61

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Solution

The fourth proportional to 2,599.79, 3,898.34 and 1,283.61 is: 1,924.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.79 : 3,898.34 = 1,283.61 : x
  2. Step 2: Convert to fraction form
    2,599.79/3,898.34 = 1,283.61/x
  3. Step 3: Cross multiply
    2,599.79x = 3,898.34 × 1,283.61
  4. Step 4: Simplify right side
    2,599.79x = 5,003,941.79
  5. Step 5: Solve for x
    x = 5,003,941.79/2,599.79
  6. Step 6: Final answer
    x = 1,924.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.