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Finding the Fourth Proportional to 1,717.98, 2,370.80 and 932.01

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Solution

The fourth proportional to 1,717.98, 2,370.80 and 932.01 is: 1,286.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,717.98 : 2,370.80 = 932.01 : x
  2. Step 2: Convert to fraction form
    1,717.98/2,370.80 = 932.01/x
  3. Step 3: Cross multiply
    1,717.98x = 2,370.80 × 932.01
  4. Step 4: Simplify right side
    1,717.98x = 2,209,611.64
  5. Step 5: Solve for x
    x = 2,209,611.64/1,717.98
  6. Step 6: Final answer
    x = 1,286.17

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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.