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Finding the Fourth Proportional to 1,726.70, 2,383.15 and 981.07

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Solution

The fourth proportional to 1,726.70, 2,383.15 and 981.07 is: 1,354.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.70 : 2,383.15 = 981.07 : x
  2. Step 2: Convert to fraction form
    1,726.70/2,383.15 = 981.07/x
  3. Step 3: Cross multiply
    1,726.70x = 2,383.15 × 981.07
  4. Step 4: Simplify right side
    1,726.70x = 2,338,044.40
  5. Step 5: Solve for x
    x = 2,338,044.40/1,726.70
  6. Step 6: Final answer
    x = 1,354.05

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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.