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Finding the Fourth Proportional to 1,537.73, 2,306.60 and 442.10

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Solution

The fourth proportional to 1,537.73, 2,306.60 and 442.10 is: 663.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.73 : 2,306.60 = 442.10 : x
  2. Step 2: Convert to fraction form
    1,537.73/2,306.60 = 442.10/x
  3. Step 3: Cross multiply
    1,537.73x = 2,306.60 × 442.10
  4. Step 4: Simplify right side
    1,537.73x = 1,019,745.40
  5. Step 5: Solve for x
    x = 1,019,745.40/1,537.73
  6. Step 6: Final answer
    x = 663.15

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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.