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Finding the Fourth Proportional to 1,811.46, 2,719.62 and 934.68

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Solution

The fourth proportional to 1,811.46, 2,719.62 and 934.68 is: 1,403.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,811.46 : 2,719.62 = 934.68 : x
  2. Step 2: Convert to fraction form
    1,811.46/2,719.62 = 934.68/x
  3. Step 3: Cross multiply
    1,811.46x = 2,719.62 × 934.68
  4. Step 4: Simplify right side
    1,811.46x = 2,541,974.42
  5. Step 5: Solve for x
    x = 2,541,974.42/1,811.46
  6. Step 6: Final answer
    x = 1,403.27

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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.