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Finding the Fourth Proportional to 1,585.96, 2,378.96 and 546.22

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Solution

The fourth proportional to 1,585.96, 2,378.96 and 546.22 is: 819.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.96 : 2,378.96 = 546.22 : x
  2. Step 2: Convert to fraction form
    1,585.96/2,378.96 = 546.22/x
  3. Step 3: Cross multiply
    1,585.96x = 2,378.96 × 546.22
  4. Step 4: Simplify right side
    1,585.96x = 1,299,437.82
  5. Step 5: Solve for x
    x = 1,299,437.82/1,585.96
  6. Step 6: Final answer
    x = 819.34

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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.