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Finding the Fourth Proportional to 2,709.52, 3,738.93 and 1,514.50

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Solution

The fourth proportional to 2,709.52, 3,738.93 and 1,514.50 is: 2,089.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.52 : 3,738.93 = 1,514.50 : x
  2. Step 2: Convert to fraction form
    2,709.52/3,738.93 = 1,514.50/x
  3. Step 3: Cross multiply
    2,709.52x = 3,738.93 × 1,514.50
  4. Step 4: Simplify right side
    2,709.52x = 5,662,594.46
  5. Step 5: Solve for x
    x = 5,662,594.46/2,709.52
  6. Step 6: Final answer
    x = 2,089.89

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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.