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Finding the Fourth Proportional to 1,819.34, 2,730.63 and 954.26

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Solution

The fourth proportional to 1,819.34, 2,730.63 and 954.26 is: 1,432.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819.34 : 2,730.63 = 954.26 : x
  2. Step 2: Convert to fraction form
    1,819.34/2,730.63 = 954.26/x
  3. Step 3: Cross multiply
    1,819.34x = 2,730.63 × 954.26
  4. Step 4: Simplify right side
    1,819.34x = 2,605,730.98
  5. Step 5: Solve for x
    x = 2,605,730.98/1,819.34
  6. Step 6: Final answer
    x = 1,432.24

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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.