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Finding the Fourth Proportional to 2,525.82, 3,784.53 and 881.46

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Solution

The fourth proportional to 2,525.82, 3,784.53 and 881.46 is: 1,320.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525.82 : 3,784.53 = 881.46 : x
  2. Step 2: Convert to fraction form
    2,525.82/3,784.53 = 881.46/x
  3. Step 3: Cross multiply
    2,525.82x = 3,784.53 × 881.46
  4. Step 4: Simplify right side
    2,525.82x = 3,335,911.81
  5. Step 5: Solve for x
    x = 3,335,911.81/2,525.82
  6. Step 6: Final answer
    x = 1,320.72

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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.