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Finding the Fourth Proportional to 1,733.69, 2,392.45 and 947.69

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Solution

The fourth proportional to 1,733.69, 2,392.45 and 947.69 is: 1,307.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733.69 : 2,392.45 = 947.69 : x
  2. Step 2: Convert to fraction form
    1,733.69/2,392.45 = 947.69/x
  3. Step 3: Cross multiply
    1,733.69x = 2,392.45 × 947.69
  4. Step 4: Simplify right side
    1,733.69x = 2,267,300.94
  5. Step 5: Solve for x
    x = 2,267,300.94/1,733.69
  6. Step 6: Final answer
    x = 1,307.79

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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.