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Finding the Fourth Proportional to 1,768.97, 2,441.21 and 1,106.22

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Solution

The fourth proportional to 1,768.97, 2,441.21 and 1,106.22 is: 1,526.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.97 : 2,441.21 = 1,106.22 : x
  2. Step 2: Convert to fraction form
    1,768.97/2,441.21 = 1,106.22/x
  3. Step 3: Cross multiply
    1,768.97x = 2,441.21 × 1,106.22
  4. Step 4: Simplify right side
    1,768.97x = 2,700,518.95
  5. Step 5: Solve for x
    x = 2,700,518.95/1,768.97
  6. Step 6: Final answer
    x = 1,526.60

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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.