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Finding the Fourth Proportional to 1,729.64, 2,386.93 and 943.67

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Solution

The fourth proportional to 1,729.64, 2,386.93 and 943.67 is: 1,302.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.64 : 2,386.93 = 943.67 : x
  2. Step 2: Convert to fraction form
    1,729.64/2,386.93 = 943.67/x
  3. Step 3: Cross multiply
    1,729.64x = 2,386.93 × 943.67
  4. Step 4: Simplify right side
    1,729.64x = 2,252,474.23
  5. Step 5: Solve for x
    x = 2,252,474.23/1,729.64
  6. Step 6: Final answer
    x = 1,302.28

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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.