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Finding the Fourth Proportional to 1,377.70, 2,064.98 and 1,223.94

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Solution

The fourth proportional to 1,377.70, 2,064.98 and 1,223.94 is: 1,834.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.70 : 2,064.98 = 1,223.94 : x
  2. Step 2: Convert to fraction form
    1,377.70/2,064.98 = 1,223.94/x
  3. Step 3: Cross multiply
    1,377.70x = 2,064.98 × 1,223.94
  4. Step 4: Simplify right side
    1,377.70x = 2,527,411.62
  5. Step 5: Solve for x
    x = 2,527,411.62/1,377.70
  6. Step 6: Final answer
    x = 1,834.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.