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Finding the Fourth Proportional to 2,705.70, 4,058.55 and 1,782.30

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Solution

The fourth proportional to 2,705.70, 4,058.55 and 1,782.30 is: 2,673.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.70 : 4,058.55 = 1,782.30 : x
  2. Step 2: Convert to fraction form
    2,705.70/4,058.55 = 1,782.30/x
  3. Step 3: Cross multiply
    2,705.70x = 4,058.55 × 1,782.30
  4. Step 4: Simplify right side
    2,705.70x = 7,233,553.67
  5. Step 5: Solve for x
    x = 7,233,553.67/2,705.70
  6. Step 6: Final answer
    x = 2,673.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.