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Finding the Fourth Proportional to 3,214.94, 4,819.10 and 1,569.46

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Solution

The fourth proportional to 3,214.94, 4,819.10 and 1,569.46 is: 2,352.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.94 : 4,819.10 = 1,569.46 : x
  2. Step 2: Convert to fraction form
    3,214.94/4,819.10 = 1,569.46/x
  3. Step 3: Cross multiply
    3,214.94x = 4,819.10 × 1,569.46
  4. Step 4: Simplify right side
    3,214.94x = 7,563,376.56
  5. Step 5: Solve for x
    x = 7,563,376.56/3,214.94
  6. Step 6: Final answer
    x = 2,352.58

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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.