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Finding the Fourth Proportional to 1,733.21, 2,391.83 and 947.26

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Solution

The fourth proportional to 1,733.21, 2,391.83 and 947.26 is: 1,307.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733.21 : 2,391.83 = 947.26 : x
  2. Step 2: Convert to fraction form
    1,733.21/2,391.83 = 947.26/x
  3. Step 3: Cross multiply
    1,733.21x = 2,391.83 × 947.26
  4. Step 4: Simplify right side
    1,733.21x = 2,265,674.17
  5. Step 5: Solve for x
    x = 2,265,674.17/1,733.21
  6. Step 6: Final answer
    x = 1,307.21

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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.