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Finding the Fourth Proportional to 1,655.82, 2,472.66 and 1,571.58

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Solution

The fourth proportional to 1,655.82, 2,472.66 and 1,571.58 is: 2,346.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.82 : 2,472.66 = 1,571.58 : x
  2. Step 2: Convert to fraction form
    1,655.82/2,472.66 = 1,571.58/x
  3. Step 3: Cross multiply
    1,655.82x = 2,472.66 × 1,571.58
  4. Step 4: Simplify right side
    1,655.82x = 3,885,983.00
  5. Step 5: Solve for x
    x = 3,885,983.00/1,655.82
  6. Step 6: Final answer
    x = 2,346.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.