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Finding the Fourth Proportional to 2,293.89, 3,440.84 and 562.51

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Solution

The fourth proportional to 2,293.89, 3,440.84 and 562.51 is: 843.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.89 : 3,440.84 = 562.51 : x
  2. Step 2: Convert to fraction form
    2,293.89/3,440.84 = 562.51/x
  3. Step 3: Cross multiply
    2,293.89x = 3,440.84 × 562.51
  4. Step 4: Simplify right side
    2,293.89x = 1,935,506.91
  5. Step 5: Solve for x
    x = 1,935,506.91/2,293.89
  6. Step 6: Final answer
    x = 843.77

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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.