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Finding the Fourth Proportional to 1,606.84, 2,215.02 and 1,256.92

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Solution

The fourth proportional to 1,606.84, 2,215.02 and 1,256.92 is: 1,732.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.84 : 2,215.02 = 1,256.92 : x
  2. Step 2: Convert to fraction form
    1,606.84/2,215.02 = 1,256.92/x
  3. Step 3: Cross multiply
    1,606.84x = 2,215.02 × 1,256.92
  4. Step 4: Simplify right side
    1,606.84x = 2,784,102.94
  5. Step 5: Solve for x
    x = 2,784,102.94/1,606.84
  6. Step 6: Final answer
    x = 1,732.66

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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.