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Finding the Fourth Proportional to 1,962.49, 2,947.84 and 1,654.95

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Solution

The fourth proportional to 1,962.49, 2,947.84 and 1,654.95 is: 2,485.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,962.49 : 2,947.84 = 1,654.95 : x
  2. Step 2: Convert to fraction form
    1,962.49/2,947.84 = 1,654.95/x
  3. Step 3: Cross multiply
    1,962.49x = 2,947.84 × 1,654.95
  4. Step 4: Simplify right side
    1,962.49x = 4,878,527.81
  5. Step 5: Solve for x
    x = 4,878,527.81/1,962.49
  6. Step 6: Final answer
    x = 2,485.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.