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Finding the Fourth Proportional to 3,011.84, 4,514.04 and 1,709.36

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Solution

The fourth proportional to 3,011.84, 4,514.04 and 1,709.36 is: 2,561.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,011.84 : 4,514.04 = 1,709.36 : x
  2. Step 2: Convert to fraction form
    3,011.84/4,514.04 = 1,709.36/x
  3. Step 3: Cross multiply
    3,011.84x = 4,514.04 × 1,709.36
  4. Step 4: Simplify right side
    3,011.84x = 7,716,119.41
  5. Step 5: Solve for x
    x = 7,716,119.41/3,011.84
  6. Step 6: Final answer
    x = 2,561.93

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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.