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Finding the Fourth Proportional to 2,423.93, 3,635.82 and 1,313.82

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Solution

The fourth proportional to 2,423.93, 3,635.82 and 1,313.82 is: 1,970.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,423.93 : 3,635.82 = 1,313.82 : x
  2. Step 2: Convert to fraction form
    2,423.93/3,635.82 = 1,313.82/x
  3. Step 3: Cross multiply
    2,423.93x = 3,635.82 × 1,313.82
  4. Step 4: Simplify right side
    2,423.93x = 4,776,813.03
  5. Step 5: Solve for x
    x = 4,776,813.03/2,423.93
  6. Step 6: Final answer
    x = 1,970.69

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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.