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Finding the Fourth Proportional to 2,582.17, 3,562.03 and 1,636.30

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Solution

The fourth proportional to 2,582.17, 3,562.03 and 1,636.30 is: 2,257.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.17 : 3,562.03 = 1,636.30 : x
  2. Step 2: Convert to fraction form
    2,582.17/3,562.03 = 1,636.30/x
  3. Step 3: Cross multiply
    2,582.17x = 3,562.03 × 1,636.30
  4. Step 4: Simplify right side
    2,582.17x = 5,828,549.69
  5. Step 5: Solve for x
    x = 5,828,549.69/2,582.17
  6. Step 6: Final answer
    x = 2,257.23

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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.