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Finding the Fourth Proportional to 2,429.96, 3,353.74 and 1,436.00

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Solution

The fourth proportional to 2,429.96, 3,353.74 and 1,436.00 is: 1,981.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429.96 : 3,353.74 = 1,436.00 : x
  2. Step 2: Convert to fraction form
    2,429.96/3,353.74 = 1,436.00/x
  3. Step 3: Cross multiply
    2,429.96x = 3,353.74 × 1,436.00
  4. Step 4: Simplify right side
    2,429.96x = 4,815,950.28
  5. Step 5: Solve for x
    x = 4,815,950.28/2,429.96
  6. Step 6: Final answer
    x = 1,981.91

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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.