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Finding the Fourth Proportional to 2,669.04, 4,000.50 and 1,024.74

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Solution

The fourth proportional to 2,669.04, 4,000.50 and 1,024.74 is: 1,535.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669.04 : 4,000.50 = 1,024.74 : x
  2. Step 2: Convert to fraction form
    2,669.04/4,000.50 = 1,024.74/x
  3. Step 3: Cross multiply
    2,669.04x = 4,000.50 × 1,024.74
  4. Step 4: Simplify right side
    2,669.04x = 4,099,472.37
  5. Step 5: Solve for x
    x = 4,099,472.37/2,669.04
  6. Step 6: Final answer
    x = 1,535.94

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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.