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Finding the Fourth Proportional to 1,525.66, 2,106.81 and 1,443.82

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Solution

The fourth proportional to 1,525.66, 2,106.81 and 1,443.82 is: 1,993.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.66 : 2,106.81 = 1,443.82 : x
  2. Step 2: Convert to fraction form
    1,525.66/2,106.81 = 1,443.82/x
  3. Step 3: Cross multiply
    1,525.66x = 2,106.81 × 1,443.82
  4. Step 4: Simplify right side
    1,525.66x = 3,041,854.41
  5. Step 5: Solve for x
    x = 3,041,854.41/1,525.66
  6. Step 6: Final answer
    x = 1,993.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.