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Finding the Fourth Proportional to 1,647.09, 2,270.22 and 1,248.63

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Solution

The fourth proportional to 1,647.09, 2,270.22 and 1,248.63 is: 1,721.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.09 : 2,270.22 = 1,248.63 : x
  2. Step 2: Convert to fraction form
    1,647.09/2,270.22 = 1,248.63/x
  3. Step 3: Cross multiply
    1,647.09x = 2,270.22 × 1,248.63
  4. Step 4: Simplify right side
    1,647.09x = 2,834,656.29
  5. Step 5: Solve for x
    x = 2,834,656.29/1,647.09
  6. Step 6: Final answer
    x = 1,721.00

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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.