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Finding the Fourth Proportional to 2,730.24, 4,094.78 and 881.51

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Solution

The fourth proportional to 2,730.24, 4,094.78 and 881.51 is: 1,322.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730.24 : 4,094.78 = 881.51 : x
  2. Step 2: Convert to fraction form
    2,730.24/4,094.78 = 881.51/x
  3. Step 3: Cross multiply
    2,730.24x = 4,094.78 × 881.51
  4. Step 4: Simplify right side
    2,730.24x = 3,609,564.64
  5. Step 5: Solve for x
    x = 3,609,564.64/2,730.24
  6. Step 6: Final answer
    x = 1,322.07

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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.