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Finding the Fourth Proportional to 2,424.96, 3,346.46 and 1,376.82

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Solution

The fourth proportional to 2,424.96, 3,346.46 and 1,376.82 is: 1,900.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.96 : 3,346.46 = 1,376.82 : x
  2. Step 2: Convert to fraction form
    2,424.96/3,346.46 = 1,376.82/x
  3. Step 3: Cross multiply
    2,424.96x = 3,346.46 × 1,376.82
  4. Step 4: Simplify right side
    2,424.96x = 4,607,466.17
  5. Step 5: Solve for x
    x = 4,607,466.17/2,424.96
  6. Step 6: Final answer
    x = 1,900.02

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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.