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Finding the Fourth Proportional to 3,006.19, 4,509.54 and 814.87

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Solution

The fourth proportional to 3,006.19, 4,509.54 and 814.87 is: 1,222.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.19 : 4,509.54 = 814.87 : x
  2. Step 2: Convert to fraction form
    3,006.19/4,509.54 = 814.87/x
  3. Step 3: Cross multiply
    3,006.19x = 4,509.54 × 814.87
  4. Step 4: Simplify right side
    3,006.19x = 3,674,688.86
  5. Step 5: Solve for x
    x = 3,674,688.86/3,006.19
  6. Step 6: Final answer
    x = 1,222.37

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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.