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Finding the Fourth Proportional to 1,647.58, 2,273.01 and 948.82

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Solution

The fourth proportional to 1,647.58, 2,273.01 and 948.82 is: 1,309.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.58 : 2,273.01 = 948.82 : x
  2. Step 2: Convert to fraction form
    1,647.58/2,273.01 = 948.82/x
  3. Step 3: Cross multiply
    1,647.58x = 2,273.01 × 948.82
  4. Step 4: Simplify right side
    1,647.58x = 2,156,677.35
  5. Step 5: Solve for x
    x = 2,156,677.35/1,647.58
  6. Step 6: Final answer
    x = 1,309.00

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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.