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Finding the Fourth Proportional to 1,389.83, 1,907.75 and 1,228.94

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Solution

The fourth proportional to 1,389.83, 1,907.75 and 1,228.94 is: 1,686.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.83 : 1,907.75 = 1,228.94 : x
  2. Step 2: Convert to fraction form
    1,389.83/1,907.75 = 1,228.94/x
  3. Step 3: Cross multiply
    1,389.83x = 1,907.75 × 1,228.94
  4. Step 4: Simplify right side
    1,389.83x = 2,344,510.97
  5. Step 5: Solve for x
    x = 2,344,510.97/1,389.83
  6. Step 6: Final answer
    x = 1,686.90

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.