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Finding the Fourth Proportional to 1,989.69, 2,744.95 and 1,359.20

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Solution

The fourth proportional to 1,989.69, 2,744.95 and 1,359.20 is: 1,875.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,989.69 : 2,744.95 = 1,359.20 : x
  2. Step 2: Convert to fraction form
    1,989.69/2,744.95 = 1,359.20/x
  3. Step 3: Cross multiply
    1,989.69x = 2,744.95 × 1,359.20
  4. Step 4: Simplify right side
    1,989.69x = 3,730,936.04
  5. Step 5: Solve for x
    x = 3,730,936.04/1,989.69
  6. Step 6: Final answer
    x = 1,875.13

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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.