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Finding the Fourth Proportional to 1,713.09, 2,364.41 and 967.06

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Solution

The fourth proportional to 1,713.09, 2,364.41 and 967.06 is: 1,334.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,713.09 : 2,364.41 = 967.06 : x
  2. Step 2: Convert to fraction form
    1,713.09/2,364.41 = 967.06/x
  3. Step 3: Cross multiply
    1,713.09x = 2,364.41 × 967.06
  4. Step 4: Simplify right side
    1,713.09x = 2,286,531.71
  5. Step 5: Solve for x
    x = 2,286,531.71/1,713.09
  6. Step 6: Final answer
    x = 1,334.74

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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.