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Finding the Fourth Proportional to 1,681.30, 2,320.20 and 935.27

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Solution

The fourth proportional to 1,681.30, 2,320.20 and 935.27 is: 1,290.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.30 : 2,320.20 = 935.27 : x
  2. Step 2: Convert to fraction form
    1,681.30/2,320.20 = 935.27/x
  3. Step 3: Cross multiply
    1,681.30x = 2,320.20 × 935.27
  4. Step 4: Simplify right side
    1,681.30x = 2,169,999.51
  5. Step 5: Solve for x
    x = 2,169,999.51/1,681.30
  6. Step 6: Final answer
    x = 1,290.67

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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.