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Finding the Fourth Proportional to 1,781.70, 2,665.88 and 1,726.34

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Solution

The fourth proportional to 1,781.70, 2,665.88 and 1,726.34 is: 2,583.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.70 : 2,665.88 = 1,726.34 : x
  2. Step 2: Convert to fraction form
    1,781.70/2,665.88 = 1,726.34/x
  3. Step 3: Cross multiply
    1,781.70x = 2,665.88 × 1,726.34
  4. Step 4: Simplify right side
    1,781.70x = 4,602,215.28
  5. Step 5: Solve for x
    x = 4,602,215.28/1,781.70
  6. Step 6: Final answer
    x = 2,583.05

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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.