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Finding the Fourth Proportional to 2,192.95, 3,289.62 and 632.93

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Solution

The fourth proportional to 2,192.95, 3,289.62 and 632.93 is: 949.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192.95 : 3,289.62 = 632.93 : x
  2. Step 2: Convert to fraction form
    2,192.95/3,289.62 = 632.93/x
  3. Step 3: Cross multiply
    2,192.95x = 3,289.62 × 632.93
  4. Step 4: Simplify right side
    2,192.95x = 2,082,099.19
  5. Step 5: Solve for x
    x = 2,082,099.19/2,192.95
  6. Step 6: Final answer
    x = 949.45

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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.