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Finding the Fourth Proportional to 1,537.37, 2,305.88 and 549.97

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Solution

The fourth proportional to 1,537.37, 2,305.88 and 549.97 is: 824.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.37 : 2,305.88 = 549.97 : x
  2. Step 2: Convert to fraction form
    1,537.37/2,305.88 = 549.97/x
  3. Step 3: Cross multiply
    1,537.37x = 2,305.88 × 549.97
  4. Step 4: Simplify right side
    1,537.37x = 1,268,164.82
  5. Step 5: Solve for x
    x = 1,268,164.82/1,537.37
  6. Step 6: Final answer
    x = 824.89

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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.