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Finding the Fourth Proportional to 2,582.34, 3,564.45 and 1,650.84

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Solution

The fourth proportional to 2,582.34, 3,564.45 and 1,650.84 is: 2,278.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.34 : 3,564.45 = 1,650.84 : x
  2. Step 2: Convert to fraction form
    2,582.34/3,564.45 = 1,650.84/x
  3. Step 3: Cross multiply
    2,582.34x = 3,564.45 × 1,650.84
  4. Step 4: Simplify right side
    2,582.34x = 5,884,336.64
  5. Step 5: Solve for x
    x = 5,884,336.64/2,582.34
  6. Step 6: Final answer
    x = 2,278.68

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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.