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Finding the Fourth Proportional to 2,762.07, 3,811.54 and 1,582.32

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Solution

The fourth proportional to 2,762.07, 3,811.54 and 1,582.32 is: 2,183.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.07 : 3,811.54 = 1,582.32 : x
  2. Step 2: Convert to fraction form
    2,762.07/3,811.54 = 1,582.32/x
  3. Step 3: Cross multiply
    2,762.07x = 3,811.54 × 1,582.32
  4. Step 4: Simplify right side
    2,762.07x = 6,031,052.96
  5. Step 5: Solve for x
    x = 6,031,052.96/2,762.07
  6. Step 6: Final answer
    x = 2,183.53

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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.