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Finding the Fourth Proportional to 3,043.50, 4,572.53 and 1,950.00

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Solution

The fourth proportional to 3,043.50, 4,572.53 and 1,950.00 is: 2,929.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,043.50 : 4,572.53 = 1,950.00 : x
  2. Step 2: Convert to fraction form
    3,043.50/4,572.53 = 1,950.00/x
  3. Step 3: Cross multiply
    3,043.50x = 4,572.53 × 1,950.00
  4. Step 4: Simplify right side
    3,043.50x = 8,916,424.88
  5. Step 5: Solve for x
    x = 8,916,424.88/3,043.50
  6. Step 6: Final answer
    x = 2,929.67

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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.