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Finding the Fourth Proportional to 4,731.94, 7,098.99 and 1,444.69

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Solution

The fourth proportional to 4,731.94, 7,098.99 and 1,444.69 is: 2,167.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,731.94 : 7,098.99 = 1,444.69 : x
  2. Step 2: Convert to fraction form
    4,731.94/7,098.99 = 1,444.69/x
  3. Step 3: Cross multiply
    4,731.94x = 7,098.99 × 1,444.69
  4. Step 4: Simplify right side
    4,731.94x = 10,255,839.86
  5. Step 5: Solve for x
    x = 10,255,839.86/4,731.94
  6. Step 6: Final answer
    x = 2,167.36

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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.