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Finding the Fourth Proportional to 2,509.58, 3,463.94 and 1,514.69

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Solution

The fourth proportional to 2,509.58, 3,463.94 and 1,514.69 is: 2,090.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.58 : 3,463.94 = 1,514.69 : x
  2. Step 2: Convert to fraction form
    2,509.58/3,463.94 = 1,514.69/x
  3. Step 3: Cross multiply
    2,509.58x = 3,463.94 × 1,514.69
  4. Step 4: Simplify right side
    2,509.58x = 5,246,795.28
  5. Step 5: Solve for x
    x = 5,246,795.28/2,509.58
  6. Step 6: Final answer
    x = 2,090.71

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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.