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Finding the Fourth Proportional to 2,274.54, 3,411.60 and 976.08

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Solution

The fourth proportional to 2,274.54, 3,411.60 and 976.08 is: 1,464.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.54 : 3,411.60 = 976.08 : x
  2. Step 2: Convert to fraction form
    2,274.54/3,411.60 = 976.08/x
  3. Step 3: Cross multiply
    2,274.54x = 3,411.60 × 976.08
  4. Step 4: Simplify right side
    2,274.54x = 3,329,994.53
  5. Step 5: Solve for x
    x = 3,329,994.53/2,274.54
  6. Step 6: Final answer
    x = 1,464.03

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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.