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Finding the Fourth Proportional to 1,717.81, 2,370.67 and 1,009.87

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Solution

The fourth proportional to 1,717.81, 2,370.67 and 1,009.87 is: 1,393.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,717.81 : 2,370.67 = 1,009.87 : x
  2. Step 2: Convert to fraction form
    1,717.81/2,370.67 = 1,009.87/x
  3. Step 3: Cross multiply
    1,717.81x = 2,370.67 × 1,009.87
  4. Step 4: Simplify right side
    1,717.81x = 2,394,060.06
  5. Step 5: Solve for x
    x = 2,394,060.06/1,717.81
  6. Step 6: Final answer
    x = 1,393.67

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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.