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Finding the Fourth Proportional to 1,733.70, 2,392.41 and 947.59

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Solution

The fourth proportional to 1,733.70, 2,392.41 and 947.59 is: 1,307.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733.70 : 2,392.41 = 947.59 : x
  2. Step 2: Convert to fraction form
    1,733.70/2,392.41 = 947.59/x
  3. Step 3: Cross multiply
    1,733.70x = 2,392.41 × 947.59
  4. Step 4: Simplify right side
    1,733.70x = 2,267,023.79
  5. Step 5: Solve for x
    x = 2,267,023.79/1,733.70
  6. Step 6: Final answer
    x = 1,307.62

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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.