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Finding the Fourth Proportional to 2,424.92, 3,345.70 and 1,376.96

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Solution

The fourth proportional to 2,424.92, 3,345.70 and 1,376.96 is: 1,899.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.92 : 3,345.70 = 1,376.96 : x
  2. Step 2: Convert to fraction form
    2,424.92/3,345.70 = 1,376.96/x
  3. Step 3: Cross multiply
    2,424.92x = 3,345.70 × 1,376.96
  4. Step 4: Simplify right side
    2,424.92x = 4,606,895.07
  5. Step 5: Solve for x
    x = 4,606,895.07/2,424.92
  6. Step 6: Final answer
    x = 1,899.81

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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.