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Finding the Fourth Proportional to 1,717.70, 2,370.41 and 931.74

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Solution

The fourth proportional to 1,717.70, 2,370.41 and 931.74 is: 1,285.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,717.70 : 2,370.41 = 931.74 : x
  2. Step 2: Convert to fraction form
    1,717.70/2,370.41 = 931.74/x
  3. Step 3: Cross multiply
    1,717.70x = 2,370.41 × 931.74
  4. Step 4: Simplify right side
    1,717.70x = 2,208,601.15
  5. Step 5: Solve for x
    x = 2,208,601.15/1,717.70
  6. Step 6: Final answer
    x = 1,285.79

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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.