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Finding the Fourth Proportional to 1,575.82, 2,174.55 and 946.72

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Solution

The fourth proportional to 1,575.82, 2,174.55 and 946.72 is: 1,306.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.82 : 2,174.55 = 946.72 : x
  2. Step 2: Convert to fraction form
    1,575.82/2,174.55 = 946.72/x
  3. Step 3: Cross multiply
    1,575.82x = 2,174.55 × 946.72
  4. Step 4: Simplify right side
    1,575.82x = 2,058,689.98
  5. Step 5: Solve for x
    x = 2,058,689.98/1,575.82
  6. Step 6: Final answer
    x = 1,306.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.