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Finding the Fourth Proportional to 1,932.56, 2,898.61 and 546

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Solution

The fourth proportional to 1,932.56, 2,898.61 and 546 is: 818.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,932.56 : 2,898.61 = 546 : x
  2. Step 2: Convert to fraction form
    1,932.56/2,898.61 = 546/x
  3. Step 3: Cross multiply
    1,932.56x = 2,898.61 × 546
  4. Step 4: Simplify right side
    1,932.56x = 1,582,641.06
  5. Step 5: Solve for x
    x = 1,582,641.06/1,932.56
  6. Step 6: Final answer
    x = 818.94

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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.