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Finding the Fourth Proportional to 2,924.70, 4,365.67 and 2,537.41

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Solution

The fourth proportional to 2,924.70, 4,365.67 and 2,537.41 is: 3,787.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,924.70 : 4,365.67 = 2,537.41 : x
  2. Step 2: Convert to fraction form
    2,924.70/4,365.67 = 2,537.41/x
  3. Step 3: Cross multiply
    2,924.70x = 4,365.67 × 2,537.41
  4. Step 4: Simplify right side
    2,924.70x = 11,077,494.71
  5. Step 5: Solve for x
    x = 11,077,494.71/2,924.70
  6. Step 6: Final answer
    x = 3,787.57

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.