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Finding the Fourth Proportional to 3,159.43, 4,735.80 and 1,514.93

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Solution

The fourth proportional to 3,159.43, 4,735.80 and 1,514.93 is: 2,270.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159.43 : 4,735.80 = 1,514.93 : x
  2. Step 2: Convert to fraction form
    3,159.43/4,735.80 = 1,514.93/x
  3. Step 3: Cross multiply
    3,159.43x = 4,735.80 × 1,514.93
  4. Step 4: Simplify right side
    3,159.43x = 7,174,381.82
  5. Step 5: Solve for x
    x = 7,174,381.82/3,159.43
  6. Step 6: Final answer
    x = 2,270.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.