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Finding the Fourth Proportional to 2,300.84, 3,451.23 and 569.46

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Solution

The fourth proportional to 2,300.84, 3,451.23 and 569.46 is: 854.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.84 : 3,451.23 = 569.46 : x
  2. Step 2: Convert to fraction form
    2,300.84/3,451.23 = 569.46/x
  3. Step 3: Cross multiply
    2,300.84x = 3,451.23 × 569.46
  4. Step 4: Simplify right side
    2,300.84x = 1,965,337.44
  5. Step 5: Solve for x
    x = 1,965,337.44/2,300.84
  6. Step 6: Final answer
    x = 854.18

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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.