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Finding the Fourth Proportional to 2,443.84, 3,666.48 and 1,057.60

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Solution

The fourth proportional to 2,443.84, 3,666.48 and 1,057.60 is: 1,586.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.84 : 3,666.48 = 1,057.60 : x
  2. Step 2: Convert to fraction form
    2,443.84/3,666.48 = 1,057.60/x
  3. Step 3: Cross multiply
    2,443.84x = 3,666.48 × 1,057.60
  4. Step 4: Simplify right side
    2,443.84x = 3,877,669.25
  5. Step 5: Solve for x
    x = 3,877,669.25/2,443.84
  6. Step 6: Final answer
    x = 1,586.71

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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.