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Finding the Fourth Proportional to 2,274.79, 3,412.16 and 608.92

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Solution

The fourth proportional to 2,274.79, 3,412.16 and 608.92 is: 913.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.79 : 3,412.16 = 608.92 : x
  2. Step 2: Convert to fraction form
    2,274.79/3,412.16 = 608.92/x
  3. Step 3: Cross multiply
    2,274.79x = 3,412.16 × 608.92
  4. Step 4: Simplify right side
    2,274.79x = 2,077,715.41
  5. Step 5: Solve for x
    x = 2,077,715.41/2,274.79
  6. Step 6: Final answer
    x = 913.37

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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.