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Finding the Fourth Proportional to 1,637.84, 2,260.20 and 1,079.12

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Solution

The fourth proportional to 1,637.84, 2,260.20 and 1,079.12 is: 1,489.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637.84 : 2,260.20 = 1,079.12 : x
  2. Step 2: Convert to fraction form
    1,637.84/2,260.20 = 1,079.12/x
  3. Step 3: Cross multiply
    1,637.84x = 2,260.20 × 1,079.12
  4. Step 4: Simplify right side
    1,637.84x = 2,439,027.02
  5. Step 5: Solve for x
    x = 2,439,027.02/1,637.84
  6. Step 6: Final answer
    x = 1,489.17

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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.