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Finding the Fourth Proportional to 1,989.40, 2,747.64 and 1,460.68

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Solution

The fourth proportional to 1,989.40, 2,747.64 and 1,460.68 is: 2,017.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,989.40 : 2,747.64 = 1,460.68 : x
  2. Step 2: Convert to fraction form
    1,989.40/2,747.64 = 1,460.68/x
  3. Step 3: Cross multiply
    1,989.40x = 2,747.64 × 1,460.68
  4. Step 4: Simplify right side
    1,989.40x = 4,013,422.80
  5. Step 5: Solve for x
    x = 4,013,422.80/1,989.40
  6. Step 6: Final answer
    x = 2,017.40

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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.