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Finding the Fourth Proportional to 1,989.84, 2,742.90 and 1,569.42

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Solution

The fourth proportional to 1,989.84, 2,742.90 and 1,569.42 is: 2,163.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,989.84 : 2,742.90 = 1,569.42 : x
  2. Step 2: Convert to fraction form
    1,989.84/2,742.90 = 1,569.42/x
  3. Step 3: Cross multiply
    1,989.84x = 2,742.90 × 1,569.42
  4. Step 4: Simplify right side
    1,989.84x = 4,304,762.12
  5. Step 5: Solve for x
    x = 4,304,762.12/1,989.84
  6. Step 6: Final answer
    x = 2,163.37

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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.