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Finding the Fourth Proportional to 1,852.56, 2,557.71 and 1,655.73

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Solution

The fourth proportional to 1,852.56, 2,557.71 and 1,655.73 is: 2,285.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.56 : 2,557.71 = 1,655.73 : x
  2. Step 2: Convert to fraction form
    1,852.56/2,557.71 = 1,655.73/x
  3. Step 3: Cross multiply
    1,852.56x = 2,557.71 × 1,655.73
  4. Step 4: Simplify right side
    1,852.56x = 4,234,877.18
  5. Step 5: Solve for x
    x = 4,234,877.18/1,852.56
  6. Step 6: Final answer
    x = 2,285.96

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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.