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Finding the Fourth Proportional to 2,274.28, 3,411.72 and 813.24

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Solution

The fourth proportional to 2,274.28, 3,411.72 and 813.24 is: 1,219.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.28 : 3,411.72 = 813.24 : x
  2. Step 2: Convert to fraction form
    2,274.28/3,411.72 = 813.24/x
  3. Step 3: Cross multiply
    2,274.28x = 3,411.72 × 813.24
  4. Step 4: Simplify right side
    2,274.28x = 2,774,547.17
  5. Step 5: Solve for x
    x = 2,774,547.17/2,274.28
  6. Step 6: Final answer
    x = 1,219.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.