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Finding the Fourth Proportional to 3,006.30, 4,509.87 and 926.48

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Solution

The fourth proportional to 3,006.30, 4,509.87 and 926.48 is: 1,389.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.30 : 4,509.87 = 926.48 : x
  2. Step 2: Convert to fraction form
    3,006.30/4,509.87 = 926.48/x
  3. Step 3: Cross multiply
    3,006.30x = 4,509.87 × 926.48
  4. Step 4: Simplify right side
    3,006.30x = 4,178,281.81
  5. Step 5: Solve for x
    x = 4,178,281.81/3,006.30
  6. Step 6: Final answer
    x = 1,389.84

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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.