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Finding the Fourth Proportional to 2,194.76, 3,292.16 and 655.76

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Solution

The fourth proportional to 2,194.76, 3,292.16 and 655.76 is: 983.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.76 : 3,292.16 = 655.76 : x
  2. Step 2: Convert to fraction form
    2,194.76/3,292.16 = 655.76/x
  3. Step 3: Cross multiply
    2,194.76x = 3,292.16 × 655.76
  4. Step 4: Simplify right side
    2,194.76x = 2,158,866.84
  5. Step 5: Solve for x
    x = 2,158,866.84/2,194.76
  6. Step 6: Final answer
    x = 983.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.