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Finding the Fourth Proportional to 1,717.97, 2,370.80 and 971.91

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Solution

The fourth proportional to 1,717.97, 2,370.80 and 971.91 is: 1,341.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,717.97 : 2,370.80 = 971.91 : x
  2. Step 2: Convert to fraction form
    1,717.97/2,370.80 = 971.91/x
  3. Step 3: Cross multiply
    1,717.97x = 2,370.80 × 971.91
  4. Step 4: Simplify right side
    1,717.97x = 2,304,199.37
  5. Step 5: Solve for x
    x = 2,304,199.37/1,717.97
  6. Step 6: Final answer
    x = 1,341.23

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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.