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Finding the Fourth Proportional to 1,705.49, 2,354.73 and 1,306.44

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Solution

The fourth proportional to 1,705.49, 2,354.73 and 1,306.44 is: 1,803.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.49 : 2,354.73 = 1,306.44 : x
  2. Step 2: Convert to fraction form
    1,705.49/2,354.73 = 1,306.44/x
  3. Step 3: Cross multiply
    1,705.49x = 2,354.73 × 1,306.44
  4. Step 4: Simplify right side
    1,705.49x = 3,076,313.46
  5. Step 5: Solve for x
    x = 3,076,313.46/1,705.49
  6. Step 6: Final answer
    x = 1,803.78

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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.