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Finding the Fourth Proportional to 1,733.36, 2,392.02 and 947.39

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Solution

The fourth proportional to 1,733.36, 2,392.02 and 947.39 is: 1,307.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733.36 : 2,392.02 = 947.39 : x
  2. Step 2: Convert to fraction form
    1,733.36/2,392.02 = 947.39/x
  3. Step 3: Cross multiply
    1,733.36x = 2,392.02 × 947.39
  4. Step 4: Simplify right side
    1,733.36x = 2,266,163.87
  5. Step 5: Solve for x
    x = 2,266,163.87/1,733.36
  6. Step 6: Final answer
    x = 1,307.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.