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Finding the Fourth Proportional to 2,134.50, 2,945.61 and 1,514.58

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Solution

The fourth proportional to 2,134.50, 2,945.61 and 1,514.58 is: 2,090.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.50 : 2,945.61 = 1,514.58 : x
  2. Step 2: Convert to fraction form
    2,134.50/2,945.61 = 1,514.58/x
  3. Step 3: Cross multiply
    2,134.50x = 2,945.61 × 1,514.58
  4. Step 4: Simplify right side
    2,134.50x = 4,461,361.99
  5. Step 5: Solve for x
    x = 4,461,361.99/2,134.50
  6. Step 6: Final answer
    x = 2,090.12

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