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Finding the Fourth Proportional to 2,582, 3,558.96 and 2,021.48

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Solution

The fourth proportional to 2,582, 3,558.96 and 2,021.48 is: 2,786.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582 : 3,558.96 = 2,021.48 : x
  2. Step 2: Convert to fraction form
    2,582/3,558.96 = 2,021.48/x
  3. Step 3: Cross multiply
    2,582x = 3,558.96 × 2,021.48
  4. Step 4: Simplify right side
    2,582x = 7,194,366.46
  5. Step 5: Solve for x
    x = 7,194,366.46/2,582
  6. Step 6: Final answer
    x = 2,786.35

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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.