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Finding the Fourth Proportional to 1,546.80, 2,321.16 and 572.88

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Solution

The fourth proportional to 1,546.80, 2,321.16 and 572.88 is: 859.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.80 : 2,321.16 = 572.88 : x
  2. Step 2: Convert to fraction form
    1,546.80/2,321.16 = 572.88/x
  3. Step 3: Cross multiply
    1,546.80x = 2,321.16 × 572.88
  4. Step 4: Simplify right side
    1,546.80x = 1,329,746.14
  5. Step 5: Solve for x
    x = 1,329,746.14/1,546.80
  6. Step 6: Final answer
    x = 859.68

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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.