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Finding the Fourth Proportional to 4,526.50, 6,791.19 and 1,448.50

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Solution

The fourth proportional to 4,526.50, 6,791.19 and 1,448.50 is: 2,173.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,526.50 : 6,791.19 = 1,448.50 : x
  2. Step 2: Convert to fraction form
    4,526.50/6,791.19 = 1,448.50/x
  3. Step 3: Cross multiply
    4,526.50x = 6,791.19 × 1,448.50
  4. Step 4: Simplify right side
    4,526.50x = 9,837,038.72
  5. Step 5: Solve for x
    x = 9,837,038.72/4,526.50
  6. Step 6: Final answer
    x = 2,173.21

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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.