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Finding the Fourth Proportional to 2,424.94, 3,640.01 and 1,038.96

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Solution

The fourth proportional to 2,424.94, 3,640.01 and 1,038.96 is: 1,559.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.94 : 3,640.01 = 1,038.96 : x
  2. Step 2: Convert to fraction form
    2,424.94/3,640.01 = 1,038.96/x
  3. Step 3: Cross multiply
    2,424.94x = 3,640.01 × 1,038.96
  4. Step 4: Simplify right side
    2,424.94x = 3,781,819.59
  5. Step 5: Solve for x
    x = 3,781,819.59/2,424.94
  6. Step 6: Final answer
    x = 1,559.55

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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.