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Finding the Fourth Proportional to 1,733.80, 2,392.70 and 947.90

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Solution

The fourth proportional to 1,733.80, 2,392.70 and 947.90 is: 1,308.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733.80 : 2,392.70 = 947.90 : x
  2. Step 2: Convert to fraction form
    1,733.80/2,392.70 = 947.90/x
  3. Step 3: Cross multiply
    1,733.80x = 2,392.70 × 947.90
  4. Step 4: Simplify right side
    1,733.80x = 2,268,040.33
  5. Step 5: Solve for x
    x = 2,268,040.33/1,733.80
  6. Step 6: Final answer
    x = 1,308.13

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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.