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Finding the Fourth Proportional to 1,853.92, 2,780.52 and 555.10

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Solution

The fourth proportional to 1,853.92, 2,780.52 and 555.10 is: 832.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853.92 : 2,780.52 = 555.10 : x
  2. Step 2: Convert to fraction form
    1,853.92/2,780.52 = 555.10/x
  3. Step 3: Cross multiply
    1,853.92x = 2,780.52 × 555.10
  4. Step 4: Simplify right side
    1,853.92x = 1,543,466.65
  5. Step 5: Solve for x
    x = 1,543,466.65/1,853.92
  6. Step 6: Final answer
    x = 832.54

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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.