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Finding the Fourth Proportional to 2,154.71, 3,232.38 and 694.19

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Solution

The fourth proportional to 2,154.71, 3,232.38 and 694.19 is: 1,041.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.71 : 3,232.38 = 694.19 : x
  2. Step 2: Convert to fraction form
    2,154.71/3,232.38 = 694.19/x
  3. Step 3: Cross multiply
    2,154.71x = 3,232.38 × 694.19
  4. Step 4: Simplify right side
    2,154.71x = 2,243,869.71
  5. Step 5: Solve for x
    x = 2,243,869.71/2,154.71
  6. Step 6: Final answer
    x = 1,041.38

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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.