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Finding the Fourth Proportional to 1,488.77, 2,057.06 and 1,436.21

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Solution

The fourth proportional to 1,488.77, 2,057.06 and 1,436.21 is: 1,984.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.77 : 2,057.06 = 1,436.21 : x
  2. Step 2: Convert to fraction form
    1,488.77/2,057.06 = 1,436.21/x
  3. Step 3: Cross multiply
    1,488.77x = 2,057.06 × 1,436.21
  4. Step 4: Simplify right side
    1,488.77x = 2,954,362.96
  5. Step 5: Solve for x
    x = 2,954,362.96/1,488.77
  6. Step 6: Final answer
    x = 1,984.43

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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.