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Finding the Fourth Proportional to 1,713.75, 2,364.93 and 967.80

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Solution

The fourth proportional to 1,713.75, 2,364.93 and 967.80 is: 1,335.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,713.75 : 2,364.93 = 967.80 : x
  2. Step 2: Convert to fraction form
    1,713.75/2,364.93 = 967.80/x
  3. Step 3: Cross multiply
    1,713.75x = 2,364.93 × 967.80
  4. Step 4: Simplify right side
    1,713.75x = 2,288,779.25
  5. Step 5: Solve for x
    x = 2,288,779.25/1,713.75
  6. Step 6: Final answer
    x = 1,335.54

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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.