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Finding the Fourth Proportional to 1,950.66, 2,909.70 and 1,792.98

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Solution

The fourth proportional to 1,950.66, 2,909.70 and 1,792.98 is: 2,674.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,950.66 : 2,909.70 = 1,792.98 : x
  2. Step 2: Convert to fraction form
    1,950.66/2,909.70 = 1,792.98/x
  3. Step 3: Cross multiply
    1,950.66x = 2,909.70 × 1,792.98
  4. Step 4: Simplify right side
    1,950.66x = 5,217,033.91
  5. Step 5: Solve for x
    x = 5,217,033.91/1,950.66
  6. Step 6: Final answer
    x = 2,674.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.