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Finding the Fourth Proportional to 3,009.81, 4,515.14 and 929.99

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Solution

The fourth proportional to 3,009.81, 4,515.14 and 929.99 is: 1,395.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009.81 : 4,515.14 = 929.99 : x
  2. Step 2: Convert to fraction form
    3,009.81/4,515.14 = 929.99/x
  3. Step 3: Cross multiply
    3,009.81x = 4,515.14 × 929.99
  4. Step 4: Simplify right side
    3,009.81x = 4,199,035.05
  5. Step 5: Solve for x
    x = 4,199,035.05/3,009.81
  6. Step 6: Final answer
    x = 1,395.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.